A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions
We prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri 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 alg...
| Autors principals: | , |
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| Format: | Journal article |
| Idioma: | English |
| Publicat: |
Instytut Matematyczny
2022
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| _version_ | 1826312528319217664 |
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| author | Batty, CJK Seifert, D |
| author_facet | Batty, CJK Seifert, D |
| author_sort | Batty, CJK |
| collection | OXFORD |
| description | We prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri 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. |
| first_indexed | 2024-03-07T07:52:37Z |
| format | Journal article |
| id | oxford-uuid:2db24135-3bd2-4d2d-a8ee-c13d92fd77c8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-04-09T03:54:24Z |
| publishDate | 2022 |
| publisher | Instytut Matematyczny |
| record_format | dspace |
| spelling | oxford-uuid:2db24135-3bd2-4d2d-a8ee-c13d92fd77c82024-03-13T12:54:04ZA continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2db24135-3bd2-4d2d-a8ee-c13d92fd77c8EnglishSymplectic ElementsInstytut Matematyczny2022Batty, CJKSeifert, DWe prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri 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. |
| spellingShingle | Batty, CJK Seifert, D A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title_full | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title_fullStr | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title_full_unstemmed | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title_short | A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions |
| title_sort | continuous parameter katznelson tzafriri theorem for algebras of analytic functions |
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