On norm derivatives and the ball-covering property of Banach spaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929446067372032 |
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| author | Sain, Debmalya |
| author_facet | Sain, Debmalya |
| contents | We study a local version of the ball-covering problem in Banach spaces, and obtain a complete solution to it in terms of the norm derivatives. We illustrate the advantage of the local approach by obtaining substantial refinements of several previously known results on this topic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On norm derivatives and the ball-covering property of Banach spaces Sain, Debmalya Functional Analysis We study a local version of the ball-covering problem in Banach spaces, and obtain a complete solution to it in terms of the norm derivatives. We illustrate the advantage of the local approach by obtaining substantial refinements of several previously known results on this topic. |
| title | On norm derivatives and the ball-covering property of Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2408.00685 |