Diagonals of operators and Blaschke's enigma

0507774 - MÚ 2020 RIV US eng J - Článek v odborném periodiku
Müller, Vladimír - Tomilov, Y.
Diagonals of operators and Blaschke's enigma.
American Mathematical Society. Transactions. Roč. 372, č. 5 (2019), s. 3565-3595. ISSN 0002-9947. E-ISSN 1088-6850
Grant CEP: GA ČR(CZ) GA17-27844S
Institucionální podpora: RVO:67985840
Klíčová slova: diagonals * pinchings * dilations * numerical range * spectrum, powers
Obor OECD: Pure mathematics
Impakt faktor: 1.363, rok: 2019
Způsob publikování: Omezený přístup
http://dx.doi.org/10.1090/tran/7804

We introduce new techniques allowing one to construct diagonals of bounded Hilbert space operators and operator tuples under ''Blaschke-type'' assumptions. This provides a new framework for a number of results in the literature and identifies (often large) subsets in the set of diagonals of arbitrary bounded operators (and their tuples). Moreover, our approach leads to substantial generalizations of the results due to Bourin, Herrero, and Stout having assumptions of a similar nature.
Trvalý link: http://hdl.handle.net/11104/0298744