Diagonals of operators and Blaschke's enigma

0507774 - MÚ 2020 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA17-27844S
Institutional support: RVO:67985840
Keywords : diagonals * pinchings * dilations * numerical range * spectrum, powers
OECD category: Pure mathematics
Impact factor: 1.363, year: 2019
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0298744