Weak limit semigroup in operator theory and ergodic theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908953511723008 |
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| author | Eisner, Tanja Gillet, Valentin |
| author_facet | Eisner, Tanja Gillet, Valentin |
| contents | We study the weak limit semigroup of an operator $T$, i.e., the set of all operators being weak limit points of the powers of $T$, in three different but related contexts: Koopman operators of measure-preserving transformations, contractions/isometries/unitaries on separable Hilbert spaces and positive operators on $L^p$-spaces. Hereby we focus on finding large subsets of the weak limit semigroup, in particular in the generic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24816 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak limit semigroup in operator theory and ergodic theory Eisner, Tanja Gillet, Valentin Functional Analysis Dynamical Systems 37A05, 37A40, 47B02, 47B38, 47B65, 54A10, 54E52. 54E52 We study the weak limit semigroup of an operator $T$, i.e., the set of all operators being weak limit points of the powers of $T$, in three different but related contexts: Koopman operators of measure-preserving transformations, contractions/isometries/unitaries on separable Hilbert spaces and positive operators on $L^p$-spaces. Hereby we focus on finding large subsets of the weak limit semigroup, in particular in the generic case. |
| title | Weak limit semigroup in operator theory and ergodic theory |
| topic | Functional Analysis Dynamical Systems 37A05, 37A40, 47B02, 47B38, 47B65, 54A10, 54E52. 54E52 |
| url | https://arxiv.org/abs/2603.24816 |