Some improvements of the Katznelson-Tzafriri theorem on Hilbert space
This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The pa...
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| Materiálatiipa: | Journal article |
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American Mathematical Society
2015
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| _version_ | 1826275163073675264 |
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| author | Seifert, D |
| author_facet | Seifert, D |
| author_sort | Seifert, D |
| collection | OXFORD |
| description | This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The paper concludes with an outline of an improved version of the KatznelsonTzafriri theorem for individual orbits, whose validity extends even to certain unbounded representations. |
| first_indexed | 2024-03-06T22:54:31Z |
| format | Journal article |
| id | oxford-uuid:5fea2c6a-0e5f-4f5f-9b18-7f8ece22a851 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:54:31Z |
| publishDate | 2015 |
| publisher | American Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:5fea2c6a-0e5f-4f5f-9b18-7f8ece22a8512022-03-26T17:50:05ZSome improvements of the Katznelson-Tzafriri theorem on Hilbert spaceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5fea2c6a-0e5f-4f5f-9b18-7f8ece22a851Symplectic Elements at OxfordAmerican Mathematical Society2015Seifert, DThis paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The paper concludes with an outline of an improved version of the KatznelsonTzafriri theorem for individual orbits, whose validity extends even to certain unbounded representations. |
| spellingShingle | Seifert, D Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title | Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title_full | Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title_fullStr | Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title_full_unstemmed | Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title_short | Some improvements of the Katznelson-Tzafriri theorem on Hilbert space |
| title_sort | some improvements of the katznelson tzafriri theorem on hilbert space |
| work_keys_str_mv | AT seifertd someimprovementsofthekatznelsontzafriritheoremonhilbertspace |