Diagonals of operators and Blaschke’s enigma
| Autor: | Vladimir Müller, Yuri Tomilov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Discrete mathematics
Applied Mathematics General Mathematics 010102 general mathematics Spectrum (functional analysis) Diagonal Hilbert space Construct (python library) 01 natural sciences Set (abstract data type) symbols.namesake Bounded function symbols 0101 mathematics Tuple Numerical range Mathematics |
| Zdroj: | Transactions of the American Mathematical Society. 372:3565-3595 |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/7804 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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