Functions of commuting contractions under perturbation
Functional Analysis
2018-04-09 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
The purpose of the paper is to obtain estimates for differences of functions of two pairs of commuting contractions on Hilbert space. In particular, Lipschitz type estimates, H\"older type estimates, Schatten--von Neumann estimates are obtained. The results generalize earlier known results for functions of self-adjoint operators, normal operators, contractions and dissipative operators.
Cite
@article{arxiv.1804.02121,
title = {Functions of commuting contractions under perturbation},
author = {Vladimir Peller},
journal= {arXiv preprint arXiv:1804.02121},
year = {2018}
}
Comments
12 pages