Bernstein functions and rates in mean ergodic theorems for operator semigroups
Functional Analysis
2011-12-02 v1 Dynamical Systems
Probability
Abstract
We present a functional calculus approach to the study of rates of decay in mean ergodic theorems for bounded strongly continuous operator semigroups. A central role is played by operators of the form , where is the generator of the semigroup and is a Bernstein function. In addition, we obtain some new results on Bernstein functions that are of independent interest.
Cite
@article{arxiv.1112.0286,
title = {Bernstein functions and rates in mean ergodic theorems for operator semigroups},
author = {Alexander Gomilko and Markus Haase and Yuri Tomilov},
journal= {arXiv preprint arXiv:1112.0286},
year = {2011}
}
Comments
29 pages. To appear in: Journal d'Analyse Mathematique