一类与局部紧群相关的Banach代数的Arens正则性及相关问题的统一研究

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2021-01-01 DOI:10.1093/qmath/haab005

Anthony to-Ming Lau;Ali Ülger

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引用次数: 0

摘要

本文基于幂有界算子上的Katznelson-Tzafriri定理，证明了一个定理，该定理适用于与局部紧群相关的调和分析的大多数经典巴拿赫代数，用于处理给定巴拿赫代数a是arenns正则和a是理想对偶时的问题。在论文的第二部分，我们研究了一类具有乘子有界近似恒等式的Banach代数的对偶的拓扑中心。

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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A Unified Approach to the Arens Regularity and Related Problems for a Class of Banach Algebras Associated with Locally Compact Groups

Based on Katznelson–Tzafriri Theorem on power bounded operators, we prove in this paper a theorem, which applies to the most of the classical Banach algebras of harmonic analysis associated with locally compact groups, to deal with the problems when a given Banach algebra A is Arens regular and when A is an ideal in its bidual. In the second part of the paper, we study the topological center of the bidual of a class of Banach algebras with a multiplier bounded approximate identity.

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.