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

IF 0.7 3区 数学 Q2 MATHEMATICS
C. Batty, D. Seifert
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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.
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。
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来源期刊
Studia Mathematica
Studia Mathematica 数学-数学
CiteScore
1.50
自引率
12.50%
发文量
72
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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