Jordan ∗−homomorphisms between unital C∗−algebras


Let A,B be two unital C∗−algebras. We prove that every almost unital almost linear mapping h : A −→ B which satisfies h(3uy + 3yu) = h(3u)h(y) + h(y)h(3u) for all u ∈ U(A), all y ∈ A, and all n = 0, 1, 2, ..., is a Jordan homomorphism. Also, for a unital C∗−algebra A of real rank zero, every almost unital almost linear continuous mapping h : A −→ B is a… (More)


Cite this paper

@inproceedings{Gordji2009JordanB, title={Jordan ∗−homomorphisms between unital C∗−algebras}, author={Madjid Eshaghi Gordji}, year={2009} }