Journal article

A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions

Abstract:: We prove a continuous-parameter version of the recent theorem of KatznelsonTzari 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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Batty, C. J. K., & Seifert, D. (2022). A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions. Studia Mathematica, 270, 229–239.

MLA Style

Batty, C. JK, and D. Seifert. “A Continuous-Parameter Katznelson-Tzafriri Theorem for Algebras of Analytic Functions.” Studia Mathematica, vol. 270, Instytut Matematyczny, 2022, pp. 229–39.

Chicago Style

Batty, CJK, and D Seifert. 2022. “A Continuous-Parameter Katznelson-Tzafriri Theorem for Algebras of Analytic Functions.” Studia Mathematica 270: 229–39.
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Files:: Batty_Seifert_2022_a_continuous_parameter.pdf

(Preview, Accepted manuscript, pdf, 326.5KB, Terms of use)

Publisher copy:: 10.4064/sm220428-13-10

Authors

+ Batty, CJK More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Seifert, D More by this author

Role:: Author
ORCID:: 0000-0002-4250-558X

Publisher:: Instytut Matematyczny
Journal:: Studia Mathematica More from this journal
Volume:: 270
Pages:: 229-239
Publication date:: 2022-11-24
Acceptance date:: 2022-09-19
DOI:: 10.4064/sm220428-13-10
EISSN:: 1730-6337
ISSN:: 0039-3223

Language:: English
Keywords:: FFR
Pubs id:: 1280313
Local pid:: pubs:1280313
Deposit date:: 2022-09-30

Terms of use

Copyright date:: 2022
Notes:: This is the accepted manuscript version of the article. The final version is available online from Instytut Matematyczny at: https://doi.org/10.4064/sm220428-13-10

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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