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arxiv: 1206.0913 · v3 · pith:355G3JQXnew · submitted 2012-06-05 · 🧮 math.FA · math.DS

Uniform families of ergodic operator nets

classification 🧮 math.FA math.DS
keywords ergodicnetsconvergencefamiliesoperatoruniformamenableappear
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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.

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