Thompson's theorem for compact operators and diagonals of unitary operators
Functional Analysis
2018-02-28 v1
Abstract
As applications of Kadison's Pythageorean and carpenter's theorems, the Schur-Horn theorem, and Thompson's theorem, we obtain an extension of Thompsons theorem to compact operators and use these ideas to give a characterization of diagonals of unitary operators. Thompson's mysterious inequality concerning the last terms of the diagonal and singular value sequences plays a central role.
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Cite
@article{arxiv.1602.08435,
title = {Thompson's theorem for compact operators and diagonals of unitary operators},
author = {John Jasper and Jireh Loreaux and Gary Weiss},
journal= {arXiv preprint arXiv:1602.08435},
year = {2018}
}
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23 pages