Uniform families of ergodic operator nets

2012/06/05 by Marco Schreiber, Schreiber, Marco · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #advanced mathematical theories #math.DS #math.FA

paper · pdf · doi:10.48550/arxiv.1206.0913

14 pages

openalex publication_date 2012/06/05 · arxiv created 2012/08/28 · arxiv updated 2012/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study mean ergodicity in amenable operator semigroups and establish the connection to the convergence of strong and weak ergodic nets. We then use these results in order to show the convergence of uniform families of ergodic nets that appear in topological Wiener-Wintner theorems.

Cited by

• Wiener--Wintner points for topological dynamical systems

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• Local ergodic theorems in symmetric spaces of measurable operators