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 numerical-range:generalizations:higher-order-numerical-range [2013/05/08 12:31]lpawela numerical-range:generalizations:higher-order-numerical-range [2013/05/08 12:45]lpawela Both sides previous revision Previous revision 2013/05/08 12:56 lpawela 2013/05/08 12:45 lpawela 2013/05/08 12:31 lpawela 2013/05/08 12:31 lpawela 2013/05/08 12:30 lpawela 2013/05/08 12:18 lpawela created 2013/05/08 12:56 lpawela 2013/05/08 12:45 lpawela 2013/05/08 12:31 lpawela 2013/05/08 12:31 lpawela 2013/05/08 12:30 lpawela 2013/05/08 12:18 lpawela created Last revision Both sides next revision Line 5: Line 5: as a tool to handle compression problems in quantum information theory. Since then as a tool to handle compression problems in quantum information theory. Since then their theory and applications have been advanced with remarkable enthusiasm. The their theory and applications have been advanced with remarkable enthusiasm. The - sequence of papers ​ADD CITE!, for example, led to a striking + sequence of papers ​[( :​choi2007higher )], [( :​choi2008geometry )], [( :​woerdeman2008higher )], [( :​li2008canonical )], for example, led to a striking extension of the classical Toeplitz--Hausdorff theorem (convexity of $W(M)$): **all** the extension of the classical Toeplitz--Hausdorff theorem (convexity of $W(M)$): **all** the $\Lambda_k(M)$ are convex (though some may be empty), and they are intersections $\Lambda_k(M)$ are convex (though some may be empty), and they are intersections