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numerical-range:generalizations:numerical-range-of-a-with-respect-to-b:higher-rank-numerical-range-for-rectangular

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numerical-range:generalizations:numerical-range-of-a-with-respect-to-b:higher-rank-numerical-range-for-rectangular [2019/08/22 19:20]
plewandowska
numerical-range:generalizations:numerical-range-of-a-with-respect-to-b:higher-rank-numerical-range-for-rectangular [2019/08/22 21:56] (current)
rkukulski [Example 2]
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 0 & 0 & -1 & 0  0 & 0 & -1 & 0 
 \end{pmatrix}$$ \end{pmatrix}$$
-with $||\cdot|| = ||\cdot||_\infty$ and $k=1$. Then, $\Lambda_{1,​||\cdot||}(A;​B) = w_{\| \cdot \|}(A; B) $ is $k$--numerical range of $A$.+with $||\cdot|| = ||\cdot||_\infty$ and $k=1$. Then, $\Lambda_{1,​||\cdot||}(A;​B) = w_{\| \cdot \|}(A; B) $.
 {{ :​numerical-range:​generalizations:​1k_nr_rectangular.png?​nolink |}} {{ :​numerical-range:​generalizations:​1k_nr_rectangular.png?​nolink |}}
  
numerical-range/generalizations/numerical-range-of-a-with-respect-to-b/higher-rank-numerical-range-for-rectangular.txt · Last modified: 2019/08/22 21:56 by rkukulski