Krein's trace formula for unitary operators and operator Lipschitz functions (English translation)
Functional Analysis
2016-11-08 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
The main result of this paper is a description of the space of functions on the unit circle, for which Krein's trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.
Keywords
Cite
@article{arxiv.1611.01630,
title = {Krein's trace formula for unitary operators and operator Lipschitz functions (English translation)},
author = {Aleksei Aleksandrov and Vladimir Peller},
journal= {arXiv preprint arXiv:1611.01630},
year = {2016}
}
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12 pages