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arXiv · 2204.13416

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

Charles Batty·David Seifert
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Abstract

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.

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Charles Batty, David Seifert. 2022-04-28. A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions. https://doi.org/10.4064/sm220428-13-10

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