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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2407.19935 |
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| _version_ | 1866929440433373184 |
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| author | Rastogi, Shubham U, Vijaya Kumar |
| author_facet | Rastogi, Shubham U, Vijaya Kumar |
| contents | We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of doubly commuting pure isometric semigroups. En route, we obtain a complete model for the tuples of doubly commuting isometric semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On pure contractive semigroups Rastogi, Shubham U, Vijaya Kumar Functional Analysis We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of doubly commuting pure isometric semigroups. En route, we obtain a complete model for the tuples of doubly commuting isometric semigroups. |
| title | On pure contractive semigroups |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2407.19935 |