Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916086805430272 |
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| author | Aggarwal, Rachna Gongopadhyay, Krishnendu Mishra, Mukund Madhav |
| author_facet | Aggarwal, Rachna Gongopadhyay, Krishnendu Mishra, Mukund Madhav |
| contents | In this article, we consider the ball model of an infinite dimensional complex hyperbolic space, i.e. the open unit ball of a complex Hilbert space centered at the origin equipped with the Caratheodory metric. We consider the group of holomorphic automorphisms of the ball and classify the conjugacy classes of automorphisms. We also compute the centralizers for elements in the group of automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space Aggarwal, Rachna Gongopadhyay, Krishnendu Mishra, Mukund Madhav Metric Geometry Functional Analysis 51M10, 51F25 In this article, we consider the ball model of an infinite dimensional complex hyperbolic space, i.e. the open unit ball of a complex Hilbert space centered at the origin equipped with the Caratheodory metric. We consider the group of holomorphic automorphisms of the ball and classify the conjugacy classes of automorphisms. We also compute the centralizers for elements in the group of automorphisms. |
| title | Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space |
| topic | Metric Geometry Functional Analysis 51M10, 51F25 |
| url | https://arxiv.org/abs/2401.04951 |