Topological Wiener–Wintner theorems for amenable operator semigroups
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...
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| Veröffentlicht in: | Ergodic theory and dynamical systems 2014-10, Vol.34 (5), p.1674-1698 |
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| container_title | Ergodic theory and dynamical systems |
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| creator | SCHREIBER, MARCO |
| description | 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. |
| doi_str_mv | 10.1017/etds.2013.14 |
| format | Article |
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| identifier | ISSN: 0143-3857 |
| ispartof | Ergodic theory and dynamical systems, 2014-10, Vol.34 (5), p.1674-1698 |
| issn | 0143-3857 1469-4417 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1786190886 |
| source | Cambridge University Press Journals Complete |
| subjects | Convergence Dynamical systems Ergodic processes Group theory Markov processes Operators Theorems Topological manifolds Topology |
| title | Topological Wiener–Wintner theorems for amenable operator semigroups |
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