Topological Wiener–Wintner theorems for amenable operator semigroups-Reference-Cited by-同舟云学术

Topological Wiener–Wintner theorems for amenable operator semigroups

Published:2013-04-04 Issue:5 Volume:34 Page:1674-1698
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

SCHREIBER MARCO

Abstract

AbstractInspired by topological Wiener–Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on

$C(K)$

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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