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^nuy) = h(2^nu)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.
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^nuy) = h(2^nu)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.