A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions
Functional Analysis
2024-09-10 v2
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.
Keywords
Cite
@article{arxiv.2204.13416,
title = {A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions},
author = {Charles Batty and David Seifert},
journal= {arXiv preprint arXiv:2204.13416},
year = {2024}
}
Comments
New title, to reflect the improvement in our main result. Accepted for publication in Studia Mathematica