GENERALIZED COHOMOLOGY GROUP OF TRIANGULAR BANACH ALGEBRAS OF ORDER THREE

被引：0

作者：

Motlagh, Abolfazl Niazi ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

Tanha, Somaye Grailoo ^{[3
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, POB 1339, Bojnord, Iran

[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

[3] Esfarayen Univ Technol, Esfarayen, North Khorasan, Iran

来源：

HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 01期

关键词：

Banach algebra; triangular Banach algebra; Banach bimodule; (sigma; tau)-derivation; first; tau)-cohomology group; WEAK AMENABILITY; (SIGMA; TAU)-COHOMOLOGY; DERIVATIONS; NOTION;

D O I：

10.5831/HMJ.2020.42.1.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main result of this article is to factorize the first (sigma, tau)-cohomology group of triangular Banach algebra T of order three with coefficients in T-bimodule chi to the first (sigma, tau)cohomology groups of Banach algbras A, B and C, where sigma, tau are continuous homomorphisms on T. As a direct consequence, we find necessary and sufficient conditions for T to be (sigma, tau)-weakly amenable.

引用

页码：105 / 121

页数：17

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