Maximal Inequality Associated to Doubling Condition for State Preserving Actions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910517620113408 |
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| author | Bikram, Panchugopal Saha, Diptesh |
| author_facet | Bikram, Panchugopal Saha, Diptesh |
| contents | In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipped with the metric satisfying the doubling condition. The key idea is to use Hardy-Littlewood maximal inequality, a version of the transference principle, and certain norm estimates of differences between ergodic averages and martingales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximal Inequality Associated to Doubling Condition for State Preserving Actions Bikram, Panchugopal Saha, Diptesh Operator Algebras Primary 46L53, 46L55, Secondary 37A55, 46L40 In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipped with the metric satisfying the doubling condition. The key idea is to use Hardy-Littlewood maximal inequality, a version of the transference principle, and certain norm estimates of differences between ergodic averages and martingales. |
| title | Maximal Inequality Associated to Doubling Condition for State Preserving Actions |
| topic | Operator Algebras Primary 46L53, 46L55, Secondary 37A55, 46L40 |
| url | https://arxiv.org/abs/2407.05642 |