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refnotes:bib [2019/10/01 13:08]
rkukulski
refnotes:bib [2020/06/30 07:27] (current)
plewandowska
Line 6: Line 6:
 @Comment{refnotes,​ @Comment{refnotes,​
   namespace = ":"​   namespace = ":"​
 +  ​
 +  @article{xie2019observing,​
 +  title={Observing geometry of quantum states in a three-level system},
 +  author={Xie,​ Jie and Zhang, Aonan and Cao, Ningping and Xu, Huichao and Zheng, Kaimin and Poon, Yiu-Tung and Sze, Nung-Sing and Xu, Ping and Zeng, Bei and Zhang, Lijian},
 +  journal={arXiv preprint arXiv:​1909.05463},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1909.05463}
 +}
 +  ​
 +  @article{cao2020higher,​
 +  title={Higher rank matricial ranges and hybrid quantum error correction},​
 +  author={Cao,​ Ningping and Kribs, David W and Li, Chi-Kwong and Nelson, Mike I and Poon, Yiu-Tung and Zeng, Bei},
 +  journal={Linear and Multilinear Algebra},
 +  pages={1--13},​
 +  year={2020},​
 +  publisher={Taylor \& Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087.2020.1748852}
 +}
 +
 +  @article{gau2007numerical,​
 +  title={Numerical ranges of companion matrices},
 +  author={Gau,​ Hwa-Long and Wu, Pei Yuan},
 +  journal={Linear algebra and its applications},​
 +  volume={421},​
 +  number={2-3},​
 +  pages={202--218},​
 +  year={2007},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0024379506001893}
 +}
 +
 +
 +  @article{lins2020numerical,​
 +  title={Numerical ranges encircled by analytic curves},
 +  author={Lins,​ Brian},
 +  journal={arXiv preprint arXiv:​2003.05347},​
 +  year={2020},​
 +  url={https://​arxiv.org/​abs/​2003.05347}
 +}
 +
 +  @article{bogli2019essential,​
 +  title={Essential numerical ranges for linear operator pencils},
 +  author={Bogli,​ Sabine and Marletta, Marco},
 +  journal={arXiv preprint arXiv:​1909.01301},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1909.01301}
 +}
 +  ​
 +  @article{li2020joint,​
 +  title={Joint numerical ranges and communtativity of matrices},
 +  author={Li, Chi-Kwong and Poon, Yiu-Tung and Wang, Ya-Shu},
 +  journal={arXiv preprint arXiv:​2002.02768},​
 +  year={2020},​
 +  url={https://​arxiv.org/​abs/​2002.02768}
 +}
 +
 +  @article{plaumann2019kippenhahn,​
 +  title={Kippenhahn'​s Theorem for joint numerical ranges and quantum states},
 +  author={Plaumann,​ Daniel and Sinn, Rainer and Weis, Stephan},
 +  journal={arXiv preprint arXiv:​1907.04768},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1907.04768}
 +}
 +
 +  @article{bickel2018numerical,​
 +  title={Numerical Range and Compressions of the Shift},
 +  author={Bickel,​ Kelly and Gorkin, Pamela},
 +  journal={arXiv preprint arXiv:​1810.11680},​
 +  year={2018},​
 +  url={https://​arxiv.org/​abs/​1810.11680}
 +}
 +
 +  @article{kim2018jordan,​
 +  title={Jordan Plane and Numerical Range of Operators Involving Two Projections},​
 +  author={Kim,​ Jaedeok and Kim, Youngmi},
 +  journal={arXiv preprint arXiv:​1811.10518},​
 +  year={2018},​
 +  url={https://​arxiv.org/​abs/​1811.10518}
 +}
 +
 +  @article{fatehi2019numerical,​
 +  title={Numerical range of weighted composition operators which contain zero},
 +  author={Fatehi,​ Mahsa and Negahdari, Asma},
 +  journal={arXiv preprint arXiv:​1901.07736},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1901.07736}
 +}
 +
 +  @article{li2019numerical,​
 +  title={Numerical Range Inclusion, Dilation, and Operator Systems},
 +  author={Li, Chi-Kwong and Poon, Yiu-Tung},
 +  journal={arXiv preprint arXiv:​1911.01221},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1911.01221}
 +}
 +
 +  @article{geryba2020numerical,​
 +  title={On the numerical range of some block matrices with scalar diagonal blocks},
 +  author={Geryba,​ Titas and Spitkovsky, Ilya M},
 +  journal={Linear and Multilinear Algebra},
 +  pages={1--14},​
 +  year={2020},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087.2020.1749225?​journalCode=glma20}
 +}
 +
 +  @article{zhang2019c,​
 +  title={c-numerical range of operator products on B (H)},
 +  author={Zhang,​ Yanfang and Fang, Xiaochun},
 +  journal={arXiv preprint arXiv:​1901.05245},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1901.05245}
 +}
 +
 +  @article{fillmore1972essential,​
 +  title={On the essential numerical range, the essential spectrum, and a problem of Halmos},
 +  author={Fillmore,​ PA and Stampfli, JG and Williams, James P},
 +  journal={Acta Sci. Math.(Szeged)},​
 +  volume={33},​
 +  number={197},​
 +  pages={179--192},​
 +  year={1972},​
 +  url={http://​acta.bibl.u-szeged.hu/​14354/​1/​math_033_fasc_003_004_179-192.pdf}
 +}
 +
 +  @article{stampfli1968growth,​
 +  title={Growth conditions and the numerical range in a Banach algebra},
 +  author={Stampfli,​ JG and Williams, JP},
 +  journal={Tohoku Mathematical Journal, Second Series},
 +  volume={20},​
 +  number={4},
 +  pages={417--424},​
 +  year={1968},​
 +  publisher={Mathematical Institute, Tohoku University},​
 +  url={https://​www.jstage.jst.go.jp/​article/​tmj1949/​20/​4/​20_4_417/​_article/​-char/​ja/​}
 +}
 +
 +  @article{bogli2020essential,​
 +  title={The essential numerical range for unbounded linear operators},
 +  author={Bogli,​ Sabine and Marletta, Marco and Tretter, Christiane},​
 +  journal={Journal of Functional Analysis},
 +  pages={108509},​
 +  year={2020},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0022123620300525}
 +}
 +
 +  @article{carvalho2019star,​
 +  title={The star-center of the quaternionic numerical range},
 +  author={Carvalho,​ Luís and Diogo, Cristina and Mendes, Sérgio},
 +  journal={Linear Algebra and its Applications},​
 +  year={2020},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0024379520302706}
 +}
 +
 +  @article{lau2018convexity,​
 +  title={Convexity and star-shapedness of matricial range},
 +  author={Lau,​ Pan-Shun and Li, Chi-Kwong and Poon, Yiu-Tung and Sze, Nung-Sing},
 +  journal={Journal of Functional Analysis},
 +  volume={275},​
 +  number={9},
 +  pages={2497--2515},​
 +  year={2018},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0022123618301277}
 +}
 +
 +@article{kumar2019note,​
 +  title={A note on convexity of sections of quaternionic numerical range},
 +  author={Kumar,​ P Santhosh},
 +  journal={Linear Algebra and its Applications},​
 +  volume={572},​
 +  pages={92--116},​
 +  year={2019},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0024379519300990}
 +}
 +
 +@article{carvalho2019convexity,​
 +  title={On the convexity and circularity of the numerical range of nilpotent quaternionic matrices},
 +  author={Carvalho,​ Luis and Diogo, Cristina and Mendes, Sérgio},
 +  journal={arXiv preprint arXiv:​1907.13438},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1907.13438}
 +}
 +
 +@article{argerami2019higher,​
 +  title={Higher rank numerical ranges of Jordan-like matrices},
 +  author={Argerami,​ Martín and Mustafa, Saleh},
 +  journal={Linear and Multilinear Algebra},
 +  pages={1--20},​
 +  year={2019},​
 +  publisher={Taylor \& Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087.2019.1684873?​journalCode=glma20}
 +}
 +
 +@article{dirr2018c,​
 +  title={The C-Numerical Range for Schatten-Class Operators},
 +  author={Dirr,​ Gunther and Ende, Frederik vom},
 +  journal={arXiv preprint arXiv:​1808.06898},​
 +  year={2018},​
 +  url={https://​arxiv.org/​abs/​1808.06898}
 +}
 +
 +@article{thompson1987research,​
 +  title={Research problem the matrix numerical range},
 +  author={Thompson,​ Robert C},
 +  year={1987},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081088708817807}
 +}
 +
 +
 +@article{li1989numerical,​
 +  title={The numerical range of derivations},​
 +  author={Li, Chi-Kwong and Tsing, Nam-Kiu},
 +  journal={Linear Algebra and its Applications},​
 +  volume={119},​
 +  pages={97--119},​
 +  year={1989},​
 +  publisher={North-Holland},​
 +  url={https://​core.ac.uk/​download/​pdf/​82777226.pdf}
 +}
 +
 +
 +@article{li1988linear,​
 +  title={Linear operators preserving the (p, q)-numerical range},
 +  author={Li, Chi-Kwong and Tam, Bit-Shun and Tsing, Nam-Kiu},
 +  journal={Linear Algebra and its Applications},​
 +  volume={110},​
 +  pages={75--89},​
 +  year={1988},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​0024379583901337}
 +}
 +
 +
 +@article{chuan1985unitary,​
 +  title={The unitary equivalence of compact operators},
 +  author={Chuan,​ Wai-Fong},
 +  journal={Glasgow Mathematical Journal},
 +  volume={26},​
 +  number={2},
 +  pages={145--149},​
 +  year={1985},​
 +  publisher={Cambridge University Press},
 +  url={https://​www.cambridge.org/​core/​journals/​glasgow-mathematical-journal/​article/​unitary-equivalence-of-compact-operators/​799971338C614A5088FB71FE0691659A}
 +}
 +
 +
 +@article{li1991k,​
 +  title={On the k th matrix numerical range},
 +  author={Li, Chi-Kwong and Tsing, Nam-Kiu},
 +  journal={Linear and Multilinear Algebra},
 +  volume={28},​
 +  number={4},
 +  pages={229--239},​
 +  year={1991},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081089108818047}
 +}
 +
 +
 +@article{li2012generalized,​
 +  title={Generalized interlacing inequalities},​
 +  author={Li, Chi-Kwong and Poon, Yiu-Tung and Sze, Nung-Sing},
 +  journal={Linear and Multilinear Algebra},
 +  volume={60},​
 +  number={11-12},​
 +  pages={1245--1254},​
 +  year={2012},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087.2011.619534?​journalCode=glma20}
 +}
 +
 +@article{choi2009multiplicative,​
 +  title={The multiplicative domain in quantum error correction},​
 +  author={Choi,​ Man-Duen and Johnston, Nathaniel and Kribs, David W},
 +  journal={Journal of Physics A: Mathematical and Theoretical},​
 +  volume={42},​
 +  number={24},​
 +  pages={245303},​
 +  year={2009},​
 +  publisher={IOP Publishing},​
 +  url={https://​iopscience.iop.org/​article/​10.1088/​1751-8113/​42/​24/​245303/​meta}
 +}
 +
 +@article{tsin1983diameter,​
 +  title={Diameter and minimal width of the numerical range},
 +  author={Tsin,​ Nam-Kiu},
 +  journal={Linear and multilinear algebra},
 +  volume={14},​
 +  number={2},
 +  pages={179--185},​
 +  year={1983},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081088308817554}
 +}
 +
 +@article{plaumann2019kippenhahn,​
 +  title={Kippenhahn'​s Theorem for joint numerical ranges and quantum states},
 +  author={Plaumann,​ Daniel and Sinn, Rainer and Weis, Stephan},
 +  journal={arXiv preprint arXiv:​1907.04768},​
 +  year={2019},​
 +  url={https://​arxiv.org/​abs/​1907.04768}
 +}
 +
 +@article{bourin2017positive,​
 +  title={Positive block matrices and numerical ranges},
 +  author={Bourin,​ Jean-Christophe and Mhanna, Antoine},
 +  journal={Comptes Rendus Mathematique},​
 +  volume={355},​
 +  number={10},​
 +  pages={1077--1081},​
 +  year={2017},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S1631073X1730256X}
 +}
 +
 +
 +@article{chien2019diameter,​
 +  title={The diameter and width of numerical ranges},
 +  author={Chien,​ Mao-Ting and Nakazato, Hiroshi and Meng, Jie},
 +  journal={Linear Algebra and its Applications},​
 +  volume={582},​
 +  pages={76--98},​
 +  year={2019},​
 +  publisher={Elsevier},​
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0024379519303301}
 +}
 +
 +@article{chien2020diameter,​
 +  title={The diameter and width of higher rank numerical ranges},
 +  author={Chien,​ Mao-Ting and Li, Chi-Kwong and Nakazato, Hiroshi},
 +  journal={Linear and Multilinear Algebra},
 +  pages={1--17},​
 +  year={2020},​
 +  publisher={Taylor and Francis},
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087.2019.1710105}
 +}
  
 @article{czartowskiseparability,​ @article{czartowskiseparability,​
-  title={Separability gap and large deviation entanglement criterion},+  title={Separability gap and large-deviation entanglement criterion},
   author={Czartowski,​ Jakub and Szymański, Konrad and Gardas, Bartłomiej and Fyodorov, Yan V and Życzkowski,​ Karol},   author={Czartowski,​ Jakub and Szymański, Konrad and Gardas, Bartłomiej and Fyodorov, Yan V and Życzkowski,​ Karol},
 +  journal={Physical Review A},
 +  volume={100},​
 +  number={4},
 +  pages={042326},​
 +  year={2019},​
   publisher={APS},​   publisher={APS},​
-  url={https://​journals.aps.org/​pra/​accepted/e2072Y19N351ef60e1e727d5d289e87ca2104df34}+  url={https://​journals.aps.org/​pra/​abstract/10.1103/​PhysRevA.100.042326}
 } }
   ​   ​
 +  @article{kukulski2020,​
 +  title={Perturbation of the numerical range of unitary matrices},
 +  author={Kukulski Ryszard and Lewandowska Paulina and Pawela Łukasz},
 +  journal={arXiv preprint arXiv: 2002.05553v1},​
 +  year={2020},​
 +  url={https://​arxiv.org/​abs/​2002.05553}
 +}
 +
 +
 @article{szymanski2019geometric,​ @article{szymanski2019geometric,​
   title={Geometric and algebraic origins of additive uncertainty relations},   title={Geometric and algebraic origins of additive uncertainty relations},
Line 20: Line 375:
   year={2019},​   year={2019},​
   publisher={IOP Publishing},​   publisher={IOP Publishing},​
-  url={https://​arxiv.org/abs/1804.06191}+  url={https://​iopscience.iop.org/article/10.1088/​1751-8121/​ab4543/​meta}
 } }
  
Line 30: Line 385:
   pages={1001--1010},​   pages={1001--1010},​
   year={2008},​   year={2008},​
-  publisher={Citeseer}+  publisher={Citeseer}, 
 +  url={http://​citeseerx.ist.psu.edu/​viewdoc/​download?​doi=10.1.1.672.1372&​rep=rep1&​type=pdf}
 } }
  
Line 87: Line 443:
   journal={arXiv preprint arXiv:​1803.10516},​   journal={arXiv preprint arXiv:​1803.10516},​
   year={2018},​   year={2018},​
-  url={https://​arxiv.org/​pdf/1803.10516.pdf}+  url={https://​arxiv.org/​abs/​1803.10516}
 } }
  
Line 104: Line 460:
   pages={219--239},​   pages={219--239},​
   year={1985},​   year={1985},​
-  publisher={Elsevier}+  publisher={Elsevier}, 
 +  url={https://​core.ac.uk/​download/​pdf/​82435859.pdf}
 } }
  
Line 115: Line 472:
   pages={15--31},​   pages={15--31},​
   year={2002},​   year={2002},​
-  publisher={Elsevier}+  publisher={Elsevier}, 
 +  url={https://​core.ac.uk/​download/​pdf/​82029923.pdf}
 } }
  
Line 126: Line 484:
   pages={440--465},​   pages={440--465},​
   year={2006},​   year={2006},​
-  publisher={North-Holland}+  publisher={North-Holland}, 
 +  url={https://​www.sciencedirect.com/​science/​article/​pii/​S0024379506002606}
 } }
  
Line 136: Line 495:
   pages={195--206},​   pages={195--206},​
   year={1984},​   year={1984},​
-  publisher={Elsevier}+  publisher={Elsevier}, 
 +  url={https://​core.ac.uk/​download/​pdf/​81931476.pdf}
 } }
  
Line 147: Line 507:
   pages={51--82},​   pages={51--82},​
   year={1994},​   year={1994},​
-  publisher={Taylor & Francis}+  publisher={Taylor & Francis}, 
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081089408818312?​journalCode=glma20}
 } }
  
Line 158: Line 519:
   pages={311--315},​   pages={311--315},​
   year={1975},​   year={1975},​
-  publisher={Taylor & Francis}+  publisher={Taylor & Francis}, 
 +  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087508817074?​journalCode=glma20}
 } }
 @article{szymanski2017classification,​ @article{szymanski2017classification,​
Line 166: Line 528:
   year={2017},​   year={2017},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​doi.org/10.1016/j.laa.2017.11.017}+  url={https://​www.sciencedirect.com/science/​article/​pii/​S0024379517306456}
 } }
  
Line 178: Line 540:
   year={1918},​   year={1918},​
   publisher={Springer},​   publisher={Springer},​
-  url={https://​dx.doi.org/​10.1007/​BF01212904}+  url={https://​link.springer.com/article/​10.1007/​BF01212904}
 } }
  
Line 190: Line 552:
   year={1919},​   year={1919},​
   publisher={Springer},​   publisher={Springer},​
-  url={https://​dx.doi.org/​10.1007/​BF01292610}+  url={https://​link.springer.com/article/​10.1007/​BF01292610}
 } }
  
Line 214: Line 576:
   year={1951},​   year={1951},​
   publisher={Wiley Online Library},   publisher={Wiley Online Library},
-  url={https://​dx.doi.org/​10.1002/​mana.19510060306}+  url={https://​onlinelibrary.wiley.com/doi/abs/​10.1002/​mana.19510060306}
 } }
  
Line 222: Line 584:
   year={1994},​   year={1994},​
   publisher={Cambridge university press},   publisher={Cambridge university press},
-  url={https://​www.google.pl/​books?​id=PlYQN0ypTwEC&lpg=PR9&ots=uArUdFZTwL&​dq=Topics%20in%20matrix%20analysis&lr&hl=pl&pg=PP1#​v=onepage&​q&​f=false}+  url={https://​books.google.pl/​books?​hl=pl&​lr=&​id=LeuNXB2bl5EC&oi=fnd&pg=PR7&​dq=Topics+in+matrix+analysis&ots=SoInB5ttwd&sig=fkBHTdWLHagVy9S1-oG-hIPWqLs&redir_esc=y#​v=onepage&​q=Topics%20in%20matrix%20analysis&​f=false}
 } }
  
Line 243: Line 605:
   year={2004},​   year={2004},​
   publisher={Springer},​   publisher={Springer},​
-  url={https://​dx.doi.org/​10.1007/​BF02985393}+  url={https://​link.springer.com/article/​10.1007/​BF02985393}
 } }
  
Line 254: Line 616:
   pages={1985--1986},​   pages={1985--1986},​
   year={1996},​   year={1996},​
-  url={https://​dx.doi.org/10.1090/S0002-9939-96-03307-2}+  url={https://​www.researchgate.net/profile/Chi-Kwong_Li/​publication/​245067615_A_simple_proof_of_the_elliptical_range_theorem/​links/​540c53800cf2df04e753cb02.pdf}
 } }
  
 @article{keeler1997numerical,​ @article{keeler1997numerical,​
   title = {The numerical range of 3x3 matrices},   title = {The numerical range of 3x3 matrices},
 +  author = {Keeler, D. S.  and Rodman, L. and Spitkovsky, I. M.},
   journal = {Linear Algebra and its Applications},​   journal = {Linear Algebra and its Applications},​
   volume = {252},   volume = {252},
Line 264: Line 627:
   pages = {115 - 139},   pages = {115 - 139},
   year = {1997},   year = {1997},
-  url = {https://​dx.doi.org/​10.1016/​0024-3795(95)00674-5}, +  url = {https://​dx.doi.org/​10.1016/​0024-3795(95)00674-5} ​
-  author = {Keeler, D. S.  and Rodman, L. and Spitkovsky, I. M.}+
 } }
  
Line 276: Line 638:
  
 @article{johnson1981numerical,​ @article{johnson1981numerical,​
-title={Numerical ranges of principal ​sumbatrices},+title={Numerical ranges of principal ​submatrices},
 author={Johnson,​ C. R.}, author={Johnson,​ C. R.},
 journal={Linear Algebra and its Applications},​ journal={Linear Algebra and its Applications},​
Line 282: Line 644:
 pages={23-34},​ pages={23-34},​
 year={1981},​ year={1981},​
-url={https://​www.sciencedirect.com/​science/​article/​pii/​0024379581901646?via%3Dihub}+url={https://​www.sciencedirect.com/​science/​article/​pii/​0024379581901646}
 } }
  
Line 302: Line 664:
   year={1976},​   year={1976},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/0024-3795(76)90080-X}+  url={https://​www.sciencedirect.com/science/​article/​pii/002437957690080X}
 } }
  
Line 313: Line 675:
   year={1991},​   year={1991},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/0024-3795(91)90216-J}+  url={https://​core.ac.uk/download/pdf/​82400308.pdf}
 } }
  
Line 321: Line 683:
   year={2002}, ​   year={2002}, ​
   publisher={Department of Mathematics,​​ Washington State University}, ​   publisher={Department of Mathematics,​​ Washington State University}, ​
-  url={https://www.sci.wsu.edu/​math/​faculty/​tsat/files/numrange.pdf}+  url={http://​www.sci.wsu.edu/​math/​faculty/​tsat/​files/​numrange.pdf}
 } }
  
Line 333: Line 695:
   year={2009},​   year={2009},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080802466365}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080802466365}
 } }
  
Line 341: Line 703:
   journal={Lecture Notes, Michigan State University},​   journal={Lecture Notes, Michigan State University},​
   year={2004},​   year={2004},​
-  url={https://​www.its.caltech.edu/​~mneumann/publications/numrange.pdf}+  url={https://​pdfs.semanticscholar.org/c6ba/fcc5e5fe8ba105e3dc86b498f95022db1984.pdf}
 } }
  
Line 348: Line 710:
   author={Skoufranis,​ P.},   author={Skoufranis,​ P.},
   year={2012},​   year={2012},​
-  url={https://​www.math.ucla.edu/​~pskoufra/​OANotes-NumericalRanges.pdf} 
 } }
  
Line 360: Line 721:
   year={2009},​   year={2009},​
   publisher={IOP Publishing},​   publisher={IOP Publishing},​
-  url={https://​dx.doi.org/​10.1088/​0266-5611/​25/​11/​115019}+  url={https://​iopscience.iop.org/article/​10.1088/​0266-5611/​25/​11/​115019/pdf}
 } }
  
Line 375: Line 736:
  
 @article{goldberg1979certain,​ @article{goldberg1979certain,​
-  title={On certain finite dimensional numerical ranges and numerical radii},+  title={On certain finite dimensional numerical ranges and numerical radii},
   author={Goldberg,​ Moshe},   author={Goldberg,​ Moshe},
   journal={Linear and Multilinear Algebra},   journal={Linear and Multilinear Algebra},
Line 383: Line 744:
   year={1979},​   year={1979},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​www.tandfonline.com/​doi/​pdf/​10.1080/​03081087908817291}+  url={https://​www.tandfonline.com/​doi/​abs/​10.1080/​03081087908817291?​journalCode=glma20}
 } }
  
Line 395: Line 756:
   year={1970},​   year={1970},​
   publisher={Mathematical Sciences Publishers},​   publisher={Mathematical Sciences Publishers},​
-  url={https://​msp.org/​pjm/​1970/​33-3/​pjm-v33-n3-p18-s.pdf}+  url={https://​msp.org/​pjm/​1970/​33-3/​p18.xhtml}
 } }
  
Line 406: Line 767:
   year={1981},​   year={1981},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/0024-3795(81)90169-5}+  url={https://​www.sciencedirect.com/science/​article/​pii/0024379581901695}
 } }
  
Line 418: Line 779:
   year={1998},​   year={1998},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/S0024-3795(98)00021-4}+  url={https://​www.sciencedirect.com/science/​article/​pii/S0024379598000214}
 } }
  
Line 448: Line 809:
   year={2000},​   year={2000},​
   publisher={Soochow University},​   publisher={Soochow University},​
-  url={https://163.14.246.20/​mp/​pdf/​S26N33.pdf}+  url={http://mathlab.math.scu.edu.tw/​mp/​pdf/​S26N33.pdf}
 } }
  
Line 459: Line 820:
   pages={1295--1311},​   pages={1295--1311},​
   year={2012},​   year={2012},​
-  url={https://​dx.doi.org/​10.1080/​03081087.2011.634415}+  ​publisher={Taylor \& Francis}, 
 +  ​url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081087.2011.634415}
 } }
  
Line 466: Line 828:
   title={Geometrical properties of numerical range of matrix polynomials},​   title={Geometrical properties of numerical range of matrix polynomials},​
   author={Maroulas,​ J and Psarrakos, P},   author={Maroulas,​ J and Psarrakos, P},
-  journal={Computers & Mathematics with Applications},​+  journal={Computers ​\& Mathematics with Applications},​
   volume={31},​   volume={31},​
-  number={4},+  number={4-5},
   pages={41--47},​   pages={41--47},​
   year={1996},​   year={1996},​
-  url={https://​dx.doi.org/10.1016/0898-1221(95)00214-6}+  ​publisher={Pergamon},​ 
 +  ​url={https://​core.ac.uk/download/pdf/​82399792.pdf}
 } }
  
Line 490: Line 853:
   journal={arXiv preprint arXiv:​1509.05676},​   journal={arXiv preprint arXiv:​1509.05676},​
   year={2015},​   year={2015},​
-  url={https://​arxiv.org/​pdf/1509.05676.pdf}+  url={https://​arxiv.org/​abs/​1509.05676}
 } }
  
Line 500: Line 863:
   year={2017},​   year={2017},​
   publisher={Springer},​   publisher={Springer},​
-  url={https://​doi.org/​10.1007/​978-3-319-49182-0_23}+  url={https://​link.springer.com/​chapter/​10.1007/​978-3-319-49182-0_23}
 } }
 @article{gutkin2004convexity,​ @article{gutkin2004convexity,​
Line 510: Line 873:
   year={2004},​   year={2004},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/j.laa.2003.06.011}+  url={https://​www.mis.mpg.de/​de/​publications/​mis-preprints/2003/​prepr2003-1.html}
  
 } }
Line 523: Line 886:
   year={2006},​   year={2006},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/j.laa.2006.05.019}+  url={https://​www.sciencedirect.com/science/article/​pii/​S0024379506002709}
 } }
  
 @article{abdollahi2006the,​ @article{abdollahi2006the,​
 title={The polynomial numerical hull of a matrix and algorithms for computing the numerical range}, title={The polynomial numerical hull of a matrix and algorithms for computing the numerical range},
-author={Abdollahi,​ A.}, +  ​author={Abdollahi,​ A}, 
-journal={Applied ​Mathematics ​and Computation}, +  journal={Applied ​mathematics ​and computation}, 
-volume={180},​ +  volume={180},​ 
-pages={635-640},​ +  ​number={2},​ 
-year={2006},​ +  ​pages={635--640}, 
-url={https://​dx.doi.org/10.1016/j.amc.2005.12.042}+  year={2006}, 
 +  publisher={Elsevier}, 
 +url={https://​www.sciencedirect.com/science/article/​pii/​S009630030600052X}
 } }
  
 @article{gau2006elliptic,​ @article{gau2006elliptic,​
-title={Elliptic ​numerical ranges ​of 4x4 matrices}, +title={Elliptic ​Numerical Ranges ​of 4 x 4 Matrices}, 
-author={GauH.}, +  author={LiHongkui and Liu, Xueting}, 
-journal={Taiwanese Journal of Mathematics}, +  ​booktitle={2009 ETP International Conference on Future Computer and Communication}, 
-volume={10}, +  pages={190--193}, 
-pages={117-128}, +  year={2009}, 
-year={2006}, +  ​organization={IEEE}, 
-url={https://​dx.doi.org/10.11650/twjm/1500406675}+url={https://​ieeexplore.ieee.org/abstract/document/5235673}
 } }
  
Line 555: Line 920:
   year={2011},​   year={2011},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/j.laa.2010.08.026}+  url={https://​www.sciencedirect.com/science/article/​pii/​S0024379510004349}
 } }
  
Line 569: Line 934:
  
 @article{cheung2012elementary,​ @article{cheung2012elementary,​
-title={ Elementary proofs for some results on the circular symmetry of the numerical range}, +title={Elementary proofs for some results on the circular symmetry of the numerical range}, 
-author={Cheung, ​W. and Li, C.}, +  author={Cheung, ​Wai-Shun ​and Li, Chi-Kwong}, 
-journal={Linear ​Multilinear Algebra}, +  journal={Linear ​and Multilinear Algebra}, 
-volume={ahead-of}, +  volume={61}, 
-pages={1-7}, +  ​number={5},​ 
-year={2012}, +  ​pages={596--602}, 
-url={https://​dx.doi.org/​10.1080/​03081087.2012.696251}+  year={2013}, 
 +  publisher={Taylor \& Francis}, 
 +url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081087.2012.696251}
 } }
  
Line 581: Line 948:
   title={Local numerical range for a class of 2⊗ d Hermitian operators},   title={Local numerical range for a class of 2⊗ d Hermitian operators},
   author={Jurkowski,​ Jacek and Rutkowski, Adam and Chruściński,​ D},   author={Jurkowski,​ Jacek and Rutkowski, Adam and Chruściński,​ D},
-  journal={Open Systems & Information Dynamics},+  journal={Open Systems ​\& Information Dynamics},
   volume={17},​   volume={17},​
   number={04},​   number={04},​
   pages={347--359},​   pages={347--359},​
   year={2010},​   year={2010},​
-  url={https://​dx.doi.org/​10.1142/​S1230161210000229}+  ​publisher={World Scientific},​ 
 +  ​url={https://​www.worldscientific.com/doi/abs/​10.1142/​S1230161210000229}
 } }
  
Line 596: Line 964:
   volume={1},   volume={1},
   pages={409--426},​   pages={409--426},​
-  url={https://​dx.doi.org/10.7153/oam-01-24}+  url={https://​www.semanticscholar.org/paper/HIGHER-RANK-NUMERICAL-RANGES-OF-UNITARY-AND-NORMAL-Choi-Holbrook/​5b13b6b5a92ce54bbf1699375a3ba26cbceb90ae}
 } }
  
Line 608: Line 976:
   year={2008},​   year={2008},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080701336545}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080701336545}
 } }
  
Line 620: Line 988:
   year={2008},​   year={2008},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080701352211}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080701352211}
 } }
  
Line 631: Line 999:
   pages={3013--3023},​   pages={3013--3023},​
   year={2008},​   year={2008},​
-  url={https://​dx.doi.org/10.1090/​S0002-9939-08-09536-1 }+  url={https://​www.ams.org/journals/​proc/​2008-136-09/​S0002-9939-08-09536-1/}
 } }
 @article{li2009condition,​ @article{li2009condition,​
Line 642: Line 1010:
   year={2009},​   year={2009},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080701786384}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080701786384}
 } }
  
 @article{gau2010higher,​ @article{gau2010higher,​
   title={Higher-rank numerical ranges and dilations},   title={Higher-rank numerical ranges and dilations},
-  author={Gau, ​H. L. and Li, C. K. and Wu, P. Y.},+  author={Gau, ​Hwa-Long ​and Li, Chi-Kwong ​and Wu, Pei Yuan},
   journal={Journal of Operator Theory},   journal={Journal of Operator Theory},
-  ​volume={63},​ +  pages={181--189},
-  number={1},​ +
-  ​pages={181},​+
   year={2010},​   year={2010},​
-  url={https://​people.wm.edu/cklixx/glwJOT.pdf}+  ​publisher={JSTOR},​ 
 +  ​url={https://​www.jstor.org/stable/24715918}
 } }
  
Line 664: Line 1031:
   pages={828--839},​   pages={828--839},​
   year={2006},​   year={2006},​
-  url={https://​dx.doi.org/10.1016/j.laa.2006.03.019}+  url={https://​arxiv.org/abs/math/​0511278}
 } }
  
Line 670: Line 1037:
   title={The boundary of higher rank numerical ranges},   title={The boundary of higher rank numerical ranges},
   author={Chien,​ Mao-Ting and Nakazato, Hiroshi},   author={Chien,​ Mao-Ting and Nakazato, Hiroshi},
-  journal={Linear ​Algebra ​and its Applications},+  journal={Linear ​algebra ​and its applications},
   volume={435},​   volume={435},​
   number={11},​   number={11},​
   pages={2971--2985},​   pages={2971--2985},​
   year={2011},​   year={2011},​
-  url={https://​dx.doi.org/10.1016/j.laa.2011.05.020}+  ​publisher={Elsevier},​ 
 +  ​url={https://​www.sciencedirect.com/science/​article/pii/​S0024379511004253}
 } }
  
Line 688: Line 1056:
   pages={3054--3061},​   pages={3054--3061},​
   year={2013},​   year={2013},​
-  url={https://​dx.doi.org/10.1016/j.laa.2012.11.017}+  ​publisher={Elsevier},​ 
 +  ​url={https://​www.sciencedirect.com/science/​article/pii/​S0024379512008221}
 } }
  
Line 700: Line 1069:
   year={2011},​   year={2011},​
   publisher={SIAM},​   publisher={SIAM},​
-  url={https://​dx.doi.org/​10.1137/​09076430X}+  url={https://​epubs.siam.org/doi/abs/​10.1137/​09076430X}
 } }
  
Line 711: Line 1080:
   year={2015},​   year={2015},​
   publisher={Elsevier},​   publisher={Elsevier},​
-  url={https://​dx.doi.org/10.1016/j.laa.2014.12.025}+  url={https://​www.sciencedirect.com/science/article/​pii/​S0024379515000166}
 } }
  
Line 722: Line 1091:
   pages={6481},​   pages={6481},​
   year={2007},​   year={2007},​
-  url={https://​dx.doi.org/​10.1088/​1751-8113/​40/​24/​014}+  ​publisher={IOP Publishing},​ 
 +  ​url={https://​iopscience.iop.org/article/​10.1088/​1751-8113/​40/​24/​014}
 } }
  
Line 734: Line 1104:
   year={2009},​   year={2009},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080802677441}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080802677441}
 } }
  
Line 746: Line 1116:
   year={2008},​   year={2008},​
   publisher={Taylor & Francis},   publisher={Taylor & Francis},
-  url={https://​dx.doi.org/​10.1080/​03081080701544114}+  url={https://​www.tandfonline.com/doi/abs/​10.1080/​03081080701544114}
 } }
  
 @article{gawron2010restricted,​ @article{gawron2010restricted,​
-  title={Restricted numerical range: ​versatile tool in the theory of quantum information},​ +  title={Restricted numerical range: ​versatile tool in the theory of quantum information},​ 
-  author={Gawron, ​P. and Puchała, ​Z. and Miszczak, ​J.A. and Skowronek, Łand Życzkowski, ​K.}, +  author={Gawron, ​Piotr and Puchała, ​Zbigniew ​and Miszczak, ​Jarosław Adam and Skowronek, Łukasz and Życzkowski, ​Karol}, 
-  journal={Journal of Mathematical Physics},+  journal={Journal of mathematical physics},
   volume={51},​   volume={51},​
 +  number={10},​
   pages={102204},​   pages={102204},​
   year={2010},​   year={2010},​
-  url={https://​dx.doi.org/10.1088/1751-8113/​45/​41/​415309}+  ​publisher={American Institute of Physics}, 
 +  ​url={https://​aip.scitation.org/doi/abs/10.1063/1.3496901}
 } }
  
Line 778: Line 1150:
   year={2011},​   year={2011},​
   publisher={IOP Publishing},​   publisher={IOP Publishing},​
-  url={https://​dx.doi.org/​10.1088/​1751-8113/​44/​33/​335301}+  url={https://​iopscience.iop.org/article/​10.1088/​1751-8113/​44/​33/​335301/meta}
 } }
  
Line 790: Line 1162:
   year={2011},​   year={2011},​
   publisher={North-Holland},​   publisher={North-Holland},​
-  url={https://​dx.doi.org/10.1016/j.laa.2010.12.003}+  url={https://​www.sciencedirect.com/science/article/​pii/​S0024379510006397}
 } }
  
 @article{bengtsson2011geometry,​ @article{bengtsson2011geometry,​
 title={Geometry of the set of mixed quantum states: An apophatic approach}, title={Geometry of the set of mixed quantum states: An apophatic approach},
-author={Bengtsson, ​I. and Weis, S. and Życzkowski, ​K.}, +  ​author={Bengtsson, ​Ingemar ​and Weis, Stephan ​and Życzkowski, ​Karol}, 
-journal={arxiv}, +  ​booktitle={Geometric Methods in Physics}, 
-volume={1}, +  pages={175--197}, 
-pages={1-13}, +  year={2013}, 
-year={2011}, +  ​publisher={Springer}, 
-url={https://​arxiv.org/abs/1112.2347}+url={https://​link.springer.com/chapter/10.1007/​978-3-0348-0448-6_15}
 } }
  
 @article{gutkin2013joint,​ @article{gutkin2013joint,​
 title={Joint numerical ranges, quantum maps, and joint numerical shadows}, title={Joint numerical ranges, quantum maps, and joint numerical shadows},
-author={Gutkin, ​E. and ZyczkowskiK. }, +  ​author={Gutkin, ​Eugene ​and ŻyczkowskiKarol}, 
-journal={Linear Algebra ​Appl.}, +  journal={Linear Algebra ​and its Applications}, 
-volume={438},​ +  volume={438},​ 
-pages={2394-2404},​ +  ​number={5},​ 
-year={2013},​ +  ​pages={2394--2404}, 
-url={https://​dx.doi.org/10.1016/10.1016/j.laa.2012.10.043}+  year={2013}, 
 +  publisher={Elsevier}, 
 +url={https://​www.sciencedirect.com/science/article/pii/​S0024379512007732}
 } }
  
 @article{gallay2010the,​ @article{gallay2010the,​
-title={The numerical ​measure of a complex matrix}, +title={Numerical ​measure of a complex matrix}, 
-author={Gallay, ​T. and Serre, ​D.}, +  author={Gallay, ​Thierry ​and Serre, ​Denis}, 
-journal={arXiv:​1009.1522}, +  journal={Communications on Pure and Applied Mathematics}, 
-volume={1}, +  volume={65}, 
-pages={1-41}, +  ​number={3},​ 
-year={2010}, +  ​pages={287--336}, 
-url={https://​arxiv.org/abs/1009.1522}+  year={2012}, 
 +  publisher={Wiley Online Library}, 
 +url={https://​onlinelibrary.wiley.com/​doi/abs/10.1002/cpa.20374}
 } }
  
Line 831: Line 1207:
   pages={415309},​   pages={415309},​
   year={2012},​   year={2012},​
-  url={https://​dx.doi.org/10.1088/1751-8113/​45/​41/​415309}+  url={https://​d1wqtxts1xzle7.cloudfront.net/40538136/Restricted_numerical_shadow_and_geometry20151201-28343-1tqkl28.pdf?​1448978875=&​response-content-disposition=inline%3B+filename%3DRestricted_numerical_shadow_and_the_geom.pdf&​Expires=1592565216&​Signature=Hejde5pW2ID8kfVbbr4wAHu9SsM221OAQUiQ21j6SW-rMFjUCgWyXtlxji-gowYWowFcbjFHF4XMCc3ieuGOozuW9PiuPtPvd~W7pK6tfWiTywFcNEbu3XfuC5fbYdb6A~zL5kIlS6yKX5E4Bldoe-V424Mbk6JehrCaJ7-HEL8kYH21aZt~DAI7RX4BEF~cRtjTVYf8I0PcJAZMIn~iCum0D0sI1MsMCYpnUHHe0J-WpGnDGo509mszZlIZYfAzoQfdVPpCRVhc6WUvkGnI5Eeyl6~NjJ4mEjvCAOXETEcNtl1ktGKRtMK~5pDe96SsPTTg3JQBg8YtgqvZlQJKlQ__&​Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA}
 } }
  
Line 838: Line 1214:
   author={Dunkl,​ Charles F and Gawron, Piotr and Pawela, Łukasz and Puchała, Zbigniew and Życzkowski,​ Karol},   author={Dunkl,​ Charles F and Gawron, Piotr and Pawela, Łukasz and Puchała, Zbigniew and Życzkowski,​ Karol},
   journal={Linear Algebra and its Applications},​   journal={Linear Algebra and its Applications},​
-  year={2015},​ 
   volume={479},​   volume={479},​
   pages={12--51},​   pages={12--51},​
-  url={https://​dx.doi.org/10.1016/j.laa.2015.03.029}+  ​year={2015},​ 
 +  publisher={Elsevier},​ 
 +  ​url={https://​www.sciencedirect.com/science/article/​pii/​S0024379515002050}
 } }
  
 @article{brody2007on,​ @article{brody2007on,​
 title={On quantum microcanonical equilibrium},​ title={On quantum microcanonical equilibrium},​
-author={Brody, ​D. Cand Hook, D. Wand Hughston, ​L. P.}, +  ​author={Brody, ​Dorje C and Hook, Daniel ​W and Hughston, ​Lane P}, 
-journal={Journal of Physics: Conference Series}, +  ​booktitle={Journal of Physics: Conference Series}, 
-volume={67},​ +  volume={67},​ 
-pages={012025},​ +  ​number={1},​ 
-year={2007},​ +  ​pages={012025},​ 
-url={https://​dx.doi.org/​10.1088/​1742-6596/​67/​1/​012025}+  year={2007}, 
 +  organization={IOP Publishing}, 
 +url={https://​iopscience.iop.org/article/​10.1088/​1742-6596/​67/​1/​012025/meta}
 } }
  
 @article{brody2007quantum,​ @article{brody2007quantum,​
 title={Quantum phase transitions without thermodynamic limits}, title={Quantum phase transitions without thermodynamic limits},
-author={Brody, ​D. Cand Hook, D. Wand Hughston, ​L. P.}, +  ​author={Brody, ​Dorje C and Hook, Daniel ​W and Hughston, ​Lane P}, 
-journal={ Proceedings of the Royal Society A: Mathematical,​ Physical and Engineering ​Science}, +  journal={Proceedings of the Royal Society A: Mathematical,​ Physical and Engineering ​Sciences}, 
-volume={463},​ +  volume={463},​ 
-pages={2021-2030},​ +  ​number={2084},​ 
-year={2007},​ +  ​pages={2021--2030}, 
-url={https://​dx.doi.org/​10.1098/​rspa.2007.1865}+  year={2007}, 
 +  publisher={The Royal Society London}, 
 +url={https://​royalsocietypublishing.org/doi/full/​10.1098/​rspa.2007.1865}
 } }
  
Line 876: Line 1257:
 @article{brody1998the,​ @article{brody1998the,​
 title={The quantum canonical ensemble}, title={The quantum canonical ensemble},
-author={Brody, ​D. Cand Hughston, ​L. P.}, +  ​author={Brody, ​Dorje C and Hughston, ​Lane P}, 
-journal={Journal of Mathematical Physics}, +  journal={Journal of Mathematical Physics}, 
-volume={39},​ +  volume={39},​ 
-pages={6502-6508},​ +  ​number={12},​ 
-year={1998},​ +  ​pages={6502--6508}, 
-url={https://​dx.doi.org/​10.1063/​1.532661}+  year={1998}
 +  publisher={American Institute of Physics
 +url={https://​aip.scitation.org/doi/abs/​10.1063/​1.532661}
 } }
  
 @article{zanardi2012probability,​ @article{zanardi2012probability,​
 title={Probability density of quantum expectation values}, title={Probability density of quantum expectation values},
-author={Zanardi, L. C. V. P.}, +  ​author={Venuti, L Campos and Zanardi, Paolo}, 
-journal={arXiv preprint}, +  journal={Physics Letters A}, 
-volume={1}, +  volume={377}, 
-pages={1-8}, +  ​number={31-33},​ 
-year={2012}, +  ​pages={1854--1861}, 
-url={https://​arxiv.org/abs/1202.4810}+  year={2013}, 
 +  publisher={Elsevier}, 
 +url={https://​www.sciencedirect.com/science/article/​pii/​S037596011300529X}
 } }
  
 </​code>​ </​code>​
refnotes/bib.1569935298.txt.gz · Last modified: 2019/10/01 13:08 by rkukulski