Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
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| Format: | Preprint |
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2024
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| _version_ | 1866909106936217600 |
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| author | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| author_facet | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| contents | An investigation is made of the generalized Cesàro operators $C_t$, for $t\in [0,1]$, when they act on the space $H(\mathbb{D})$ of holomorphic functions on the open unit disc $\mathbb{D}$, on the Banach space $H^\infty$ of bounded analytic functions and on the weighted Banach spaces $H_v^\infty$ and $H_v^0$ with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of $C_t$ as well as their linear dynamics and mean ergodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04003 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms Albanese, Angela A. Bonet, José Ricker, Werner J. Functional Analysis Primary 46E15, 47B38, Secondary 46E10, 47A10, 47A16, 47A35 An investigation is made of the generalized Cesàro operators $C_t$, for $t\in [0,1]$, when they act on the space $H(\mathbb{D})$ of holomorphic functions on the open unit disc $\mathbb{D}$, on the Banach space $H^\infty$ of bounded analytic functions and on the weighted Banach spaces $H_v^\infty$ and $H_v^0$ with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of $C_t$ as well as their linear dynamics and mean ergodicity. |
| title | Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms |
| topic | Functional Analysis Primary 46E15, 47B38, Secondary 46E10, 47A10, 47A16, 47A35 |
| url | https://arxiv.org/abs/2402.04003 |