Diagonals of operators and Blaschke's enigma
Functional Analysis
2019-01-18 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1805.08188,
title = {Diagonals of operators and Blaschke's enigma},
author = {Vladimir Muller and Yuri Tomilov},
journal= {arXiv preprint arXiv:1805.08188},
year = {2019}
}
Comments
34 pages, This is a version of the paper to appear in Transactions of the American Mathematical Society