φ- BIPROJECTIVE AND (φ,ψ)- AMENABLE BANACH ALGEBRAS

被引：0

作者：

Ghorbani, Z. ^{[1
]}

Baradaran, J. ^{[1
]}

机构：

[1] Jahrom Univ, Dept Math, Jahrom, Iran

来源：

MATHEMATICA MONTISNIGRI | 2019年 / 44卷

关键词：

Banach algebra; phi; -biprojective; -biflat; AMENABILITY;

D O I：

10.20948/mathmon-2019-44-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce and study the concept of a phi- biprojective and (phi,psi)- amenable Banach algebra A, where phi is a continuous homomorphism on A and psi is an element of Phi(A). We show that A is (phi,psi)- amenable if and only there exists a bounded net (m(alpha))subset of A such that parallel to phi(a)m(alpha) - m(alpha)phi(a)parallel to -> 0 and psi circle phi(m(alpha)) =1 for all alpha.

引用

页码：5 / 14

页数：10

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