A continuous-parameter Katznelson–Tzafriri theorem for algebras of analytic functions
Volume 270 / 2023
Studia Mathematica 270 (2023), 229-239
MSC: Primary 47A60; Secondary 47B15, 47D03.
DOI: 10.4064/sm220428-13-10
Published online: 24 November 2022
Abstract
We prove a continuous-parameter version of a theorem of Katznelson–Tzafriri 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.
