Uniform vector-valued pointwise ergodic theorems for operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909541527977984 |
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| author | Barthmann, Micky Farhangi, Sohail |
| author_facet | Barthmann, Micky Farhangi, Sohail |
| contents | We prove a uniform vector-valued Wiener-Wintner Theorem for a class of operators that includes compositions of ergodic Koopman operators with contractive multiplication operators. Our results are new even in the case of complex-valued functions, as they also apply to some non-positive non-contractive operators, and they give new uniform pointwise theorems for ergodic, weakly mixing, and mildly mixing Koopman operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform vector-valued pointwise ergodic theorems for operators Barthmann, Micky Farhangi, Sohail Functional Analysis Dynamical Systems 37A25, 47A35, 28B05, 46M07 We prove a uniform vector-valued Wiener-Wintner Theorem for a class of operators that includes compositions of ergodic Koopman operators with contractive multiplication operators. Our results are new even in the case of complex-valued functions, as they also apply to some non-positive non-contractive operators, and they give new uniform pointwise theorems for ergodic, weakly mixing, and mildly mixing Koopman operators. |
| title | Uniform vector-valued pointwise ergodic theorems for operators |
| topic | Functional Analysis Dynamical Systems 37A25, 47A35, 28B05, 46M07 |
| url | https://arxiv.org/abs/2404.05877 |