ALMOST HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS:A FIXED POINT APPROACH

被引：0

作者：

M.Eshaghi Gordji ^{[1
]}

S.Kaboli Gharetapeh ^{[2
]}

M.Bidkham ^{[1
]}

T.Karimi ^{[2
]}

M.Aghaei ^{[2
]}

机构：

[1] Semnan University,Iran

[2] Payame Noor University,Iran

来源：

Analysis in Theory and Applications | 2011年 / 27卷 / 04期

关键词：

alternative fixed point; Jordan*-homomorphism;

D O I：

暂无

中图分类号：

O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];

学科分类号：

070104 ;

摘要：

Let A , B be two unital C*-algebras. By using fixed pint methods, we prove that every almost unital almost linear mapping h : A → B which satisfies h(2 n uy) = h(2 n u)h(y) for all u ∈ U(A), all y ∈ A, and all n = 0, 1, 2, … , is a homomorphism. Also, we establish the generalized Hyers-Ulam-Rassias stability of *-homomorphisms on unital C*-algebras.

引用

页码：320 / 331

页数：12

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