Dissipative operators and operator Lipschitz functions
Functional Analysis
2018-03-01 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
The purpose of this paper is to obtain an integral representation for the difference of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form .
Cite
@article{arxiv.1802.10454,
title = {Dissipative operators and operator Lipschitz functions},
author = {Aleksei Aleksandrov and Vladimir Peller},
journal= {arXiv preprint arXiv:1802.10454},
year = {2018}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1009.0298