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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.11480 |
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| _version_ | 1866909462648848384 |
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| author | Xu, Jing Ji, Shanshan Xie, Yufang Ji, Kui |
| author_facet | Xu, Jing Ji, Shanshan Xie, Yufang Ji, Kui |
| contents | The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic vector bundles, this paper investigates the cyclicity of Cowen-Douglas tuples and demonstrates conclusively that every such tuple is cyclic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclicity of Cowen-Douglas tuples Xu, Jing Ji, Shanshan Xie, Yufang Ji, Kui Functional Analysis The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic vector bundles, this paper investigates the cyclicity of Cowen-Douglas tuples and demonstrates conclusively that every such tuple is cyclic. |
| title | Cyclicity of Cowen-Douglas tuples |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2501.11480 |