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

We prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri 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 alg...

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Bibliographische Detailangaben
Hauptverfasser: Batty, CJK, Seifert, D
Format: Journal article
Sprache:English
Veröffentlicht: Instytut Matematyczny 2022