TRIVIALITY OF THE GENERALISED LAU PRODUCT ASSOCIATED TO A BANACH ALGEBRA HOMOMORPHISM

Author:

CHOI YEMON

Abstract

Several papers have, as their raison d’être, the exploration of the generalised Lau product associated to a homomorphism $T:B\rightarrow A$ of Banach algebras. In this short note, we demonstrate that the generalised Lau product is isomorphic as a Banach algebra to the usual direct product $A\oplus B$. We also correct some misleading claims made about the relationship between this generalised Lau product and an older construction of Monfared [‘On certain products of Banach algebras with applications to harmonic analysis’, Studia Math. 178(3) (2007), 277–294].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. [12] A. Pourabbas and N. Razi , ‘Cohomological characterization of $T$ -Lau product algebras’. Preprint, 2015, arXiv:1509.01933.

2. Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism

3. BIPROJECTIVITY AND BIFLATNESS OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM

4. [6] H. Javanshiri and M. Nemati , ‘The multiplier algebra and BSE-functions for certain product of Banach algebras’, Preprint, 2015, arXiv:1509.00895.

5. ARENS REGULARITY AND AMENABILITY OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Pseudo-contractibility and Ultra Central Approximate Identity of Some Semigroup Algebras;Journal of Mathematics;2022-07-06

2. The first Cohomology Group of Semidirect Products of Banach Algebras;Iranian Journal of Science and Technology, Transactions A: Science;2021-03-02

3. Johnson Pseudo-Contractibility and Pseudo-Amenability of θ-Lau Product;Kragujevac Journal of Mathematics;2020-12

4. Derivations on Banach algebras of connected multiplicative linear functionals;Bulletin of the Malaysian Mathematical Sciences Society;2020-10-09

5. Generalized module extension Banach algebras: Derivations and weak amenability;Quaestiones Mathematicae;2017-04-10

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3