Topological Wiener-Wintner theorems for amenable operator semigroups
Dynamical Systems
2013-01-30 v2 Functional Analysis
Abstract
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on and show the connection to the convergence of strong and weak ergodic nets. The results are then used to characterize mean ergodicity of Koopman semigroups corresponding to skew product actions on compact group extensions.
Cite
@article{arxiv.1210.0108,
title = {Topological Wiener-Wintner theorems for amenable operator semigroups},
author = {Marco Schreiber},
journal= {arXiv preprint arXiv:1210.0108},
year = {2013}
}
Comments
26 pages, referee's suggestions incorporated, to appear in "Ergodic Theory and Dynamical Systems"