English

Jordan *-homomorphisms on $C^*$-algebras

Operator Algebras 2008-12-17 v1

Abstract

In this paper, we investigate Jordan *-homomorphisms on CC^*-algebras associated with the following functional inequality f(ba3)+f(a3c3)+f(3a+3cb3)f(a).\|f(\frac{b-a}{3})+f(\frac{a-3c}{3})+f(\frac{3a+3c-b}{3})\| \leq \|f(a)\|. We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on CC^*-algebras associated with the following functional equation f(ba3)+f(a3c3)+f(3a+3cb3)=f(a).f(\frac{b-a}{3})+f(\frac{a-3c}{3})+f(\frac{3a+3c-b}{3})=f(a).

Keywords

Cite

@article{arxiv.0812.2928,
  title  = {Jordan *-homomorphisms on $C^*$-algebras},
  author = {M. Eshaghi Gordji and N. Ghobadipour and C. Park},
  journal= {arXiv preprint arXiv:0812.2928},
  year   = {2008}
}
R2 v1 2026-06-21T11:52:25.075Z