Almost homomorphisms between unital C*-algebras: A fixed point approach |
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| Authors: | M. Eshaghi Gordji S. Kaboli Gharetapeh M. Bidkham T. Karimi M. Aghaei |
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| Affiliation: | M.Eshaghi Gordji (Semnan University,Iran) S.Kaboli Gharetapeh (Payame Noor University,Iran) M.Bidkham (Semnan University,Iran) T.Karimi (Payame Noor University,Iran) and M.Aghaei (Payame Noor University,Iran) |
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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. |
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| Keywords: | alternative fixed point Jordan*-homomorphism |
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