The polynomial cluster value problem for Banach spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915350971416576 |
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| author | Castillo, Sofia Ortega Lima, Isidro Humberto Munive |
| author_facet | Castillo, Sofia Ortega Lima, Isidro Humberto Munive |
| contents | We reduce the polynomial cluster value problem for the algebra of bounded analytic functions, $H^{\infty}$, on the ball of Banach spaces $X$ to the same polynomial cluster value problem for $H^{\infty}$ but on the ball of those spaces which are $\ell_1$-sums of finite dimensional spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16371 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The polynomial cluster value problem for Banach spaces Castillo, Sofia Ortega Lima, Isidro Humberto Munive Functional Analysis 46J15, 46T25, 32A70 We reduce the polynomial cluster value problem for the algebra of bounded analytic functions, $H^{\infty}$, on the ball of Banach spaces $X$ to the same polynomial cluster value problem for $H^{\infty}$ but on the ball of those spaces which are $\ell_1$-sums of finite dimensional spaces. |
| title | The polynomial cluster value problem for Banach spaces |
| topic | Functional Analysis 46J15, 46T25, 32A70 |
| url | https://arxiv.org/abs/2312.16371 |