巴拿赫代数混合重复的 Bochner-Schoenberg-Eberlein 模块属性

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI:10.15672/hujms.1261110

M. Abolfathi, Ali Ebadian, Ali Jabbari̇

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引用次数: 0

摘要

交换巴拿赫数列上的 Bochner-Schoenberg-Eberlein 模块性质是一个与巴拿赫数列上的乘数扩展有关的性质，它是由巴拿赫数列到巴拿赫模块的模块态量。在本文中，我们回答了 [J. Algebra Appl.我们证明，当且仅当 $X$ 是一个 BSE Banach $\A,\U$ 模块且 $Y$ 是一个 BSE Banach $\U$ 模块时，Banach $\Artimes\U$ 模块 $X\times Y$ （$X$ 是一个 Banach $\A,\U$ 模块且 $Y$ 是一个 Banach $\U$ 模块）具有 BSE 模块性质。

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The Bochner–Schoenberg–Eberlein module property for amalgamated duplication of Banach algebras

The Bochner–Schoenberg–Eberlein module property on commutative Banach algebras is a property related to extensions of multipliers on Banach algebras to module morphisms from Banach algebras into Banach modules. In this paper, we answer the problem (1) raised in [J. Algebra Appl., 21(8) (2022), 2250155, DOI: 10.1142/S0219498822501559]. We show that the Banach $\A\rtimes\U$-module $X\times Y$ ($X$ is a Banach $\A,\U$-module and $Y$ is a Banach $\U$-module) has a BSE-module property if and only if $X$ is a BSE Banach $\A,\U$-module and $Y$ is a BSE Banach $\U$-module.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.