A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929490881413120 |
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| author | Batty, Charles Seifert, David |
| author_facet | Batty, Charles Seifert, David |
| contents | We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-bounded operators which have a bounded calculus for analytic Besov functions. We also show that the result can be extended to some operators which have functional calculi with respect to some larger algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_13416 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions Batty, Charles Seifert, David Functional Analysis 47A60 We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-bounded operators which have a bounded calculus for analytic Besov functions. We also show that the result can be extended to some operators which have functional calculi with respect to some larger algebras. |
| title | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| topic | Functional Analysis 47A60 |
| url | https://arxiv.org/abs/2204.13416 |