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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.13511 |
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| _version_ | 1866910375825375232 |
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| author | Chen, Zhimeng Xu, Jing |
| author_facet | Chen, Zhimeng Xu, Jing |
| contents | In this note, we will define the formulas of curvature and it's covariant derivatives for holomorphic curves on C*-algebras for the multivariable case. As applications, the unitarily and similarly classification theorems for holomorphic bundle and commuting operator tuples in Cowen-Douglas class are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13511 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the flag structure and classification of the holomorphic curves on C*-algebras Chen, Zhimeng Xu, Jing Functional Analysis In this note, we will define the formulas of curvature and it's covariant derivatives for holomorphic curves on C*-algebras for the multivariable case. As applications, the unitarily and similarly classification theorems for holomorphic bundle and commuting operator tuples in Cowen-Douglas class are given. |
| title | On the flag structure and classification of the holomorphic curves on C*-algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2403.13511 |