Functions of triples of noncommuting self-adjoint operators and their perturbations
Functional Analysis
2016-06-30 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
In this paper we study properties of functions of triples of not necessarily commuting self-adjoint operators. The main result of the paper shows that unlike in the case of functions of pairs of self-adjoint operators there is no Lipschitz type estimates in the trace norm for arbitrary functions in the Besov class .
Keywords
Cite
@article{arxiv.1606.08961,
title = {Functions of triples of noncommuting self-adjoint operators and their perturbations},
author = {Vladimir Peller},
journal= {arXiv preprint arXiv:1606.08961},
year = {2016}
}
Comments
10 pages