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

IF 0.7 3区数学 Q2 MATHEMATICS Studia Mathematica Pub Date : 2022-04-28 DOI:10.4064/sm220428-13-10

C. Batty, D. Seifert

引用次数: 2

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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解析函数代数的连续参数Katznelson–Tzafriri定理

.我们证明了最近关于幂有界算子的Katznelson–Tza fi ri型定理的连续参数版本，该算子具有解析Besov函数的有界演算。我们还证明了这个结果可以推广到一些算子，这些算子对于一些较大的代数具有函数演算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.

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