Almost Homomorphisms Between Unital $C^*$-Algebras: A Fixed Point Approach

doi:10.1007/s10496-011-0320-3

Almost Homomorphisms Between Unital $C^*$ -Algebras: A Fixed Point Approach

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Year: 2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 320–331

Abstract

Let $A$ , $B$ be two unital $C^*$ −algebras. By using fixed point methods, we prove that every almost unital almost linear mapping $h : A \to B$ which satisfies $h(2^nuy)= h(2^nu)h(y)$ for all $u \in U(A)$ , all $y \in A$ , and all $n=0,1,2, \cdots$ , is a homomorphism. Also, we establish the generalized Hyers–Ulam–Rassias stability of $*$ −homomorphisms on unital $C^*$ −algebras.

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Journal Article Details

Publisher Name: Global Science Press

Language: English

DOI: https://doi.org/10.1007/s10496-011-0320-3

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 320–331

Published online: 2011-01

AMS Subject Headings: Global Science Press

Pages: 12

Keywords: alternative fixed point Jordan $*$ -homomorphism.

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Advances in Difference Equations, Vol. 2012 (2012), Iss. 1
https://doi.org/10.1186/1687-1847-2012-138 [Citations: 13]

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