Ergodic sequences of averages of group representations

Michael Lin, Rainer Wittmann

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Let G be a locally compact σ -compact group with right Haar measure λ. A sequence {μn} of probabilities on G is called ergodic if for every f L1(G, λ) and t G we have μn* (f − δt* f) 1 → 0. If T (t) is a bounded continuous representation of G by linear operators in a Banach space X, we define the μ,-average of T(t) by.

Original languageEnglish
Pages (from-to)181-196
Number of pages16
JournalErgodic Theory and Dynamical Systems
Volume14
Issue number1
DOIs
StatePublished - 1 Jan 1994

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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