2011•Analysis in Theory and ApplicationsRequires access
Almost Homomorphisms Between Unital $C^*$-Algebras: A Fixed Point Approach
M. Eshaghi Gordji, S. Kaboli Gharetapeh, M. Bidkham, T. Karimi null, Mona Aghaei
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Abstract
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.