Compact operator semigroups applied to dynamical systems

Abstract

In this paper we develop a systematic theory of compact operator semigroups on locally convex vector spaces. In particular we prove new and generalized versions of the mean ergodic theorem and apply them to different notions of mean ergodicity appearing in topological dynamics.

corrected minor mistakes of the printed version (highlighted in red; see, in particular, the assumption of quasi-completeness in Theorem 4.7)