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Topological Wiener–Wintner theorems for amenable operator semigroups

Published online by Cambridge University Press:  04 April 2013

MARCO SCHREIBER
MARCO SCHREIBER*
Affiliation:
Institute of Mathematics, University of Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany email masc@fa.uni-tuebingen.de
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Abstract

Inspired 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 5 , October 2014 , pp. 1674 - 1698
Copyright
Copyright ©2013 Cambridge University Press 

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