Bounded perturbations of Bernstein functions of several operator variables
Functional Analysis
2016-11-22 v1
Abstract
The paper deals with (multidimensional and one-dimensional) Bochner-Phillips functional calculus. Bounded perturbations of Bernstein functions of (one or several commuting) semigroup generators on Banach spaces are considered, conditions for Lipschitzness and Frechet-differentiability of such functions are obtained, estimates for the norm of commutators are proved, and a generalization of Livschits-Kre\u{\i}n trace formula derived.
Keywords
Cite
@article{arxiv.1611.06558,
title = {Bounded perturbations of Bernstein functions of several operator variables},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:1611.06558},
year = {2016}
}