Krein's trace formula for unitary operators and operator Lipschitz functions
Functional Analysis
2016-04-01 v2 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
The main result of the paper is a description of the class of functions on the unit circle, for which Krein's trace formula holds for arbitrary pairs of unitary operators with trace class difference. We prove that this class of functions coincides with the class of operator Lipschitz functions.
Keywords
Cite
@article{arxiv.1603.08275,
title = {Krein's trace formula for unitary operators and operator Lipschitz functions},
author = {Alexei Aleksandrov and Vladimir Peller},
journal= {arXiv preprint arXiv:1603.08275},
year = {2016}
}
Comments
13 pages, in Russian