Spectrum, homomorphisms and multipliers of Lau product of Banach algebras

被引：0

作者：

Valaei, Mohammad ^{[1
]}

Zivari-Kazempour, Abbas ^{[1
]}

机构：

[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 03期

关键词：

spectrum; homomorphisms; multipliers; Lau product; faithful; semisimple; AMENABILITY; BIPROJECTIVITY; BIFLATNESS;

D O I：

10.15672/hujms.1287866

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given Banach algebras A , B and a continuous homomorphism theta : B -+ A with II theta II < 1 , we obtain characterization of spectrum, homomorphisms and multipliers of A x B-o , which is a strongly splitting Banach algebra extension of B by A . Also we characterize the semisimplicity of these algebras.

引用

页码：777 / 787

页数：11

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