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arXiv · 0812.2928

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

M. Eshaghi Gordji·N. Ghobadipour·C. Park
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Abstract

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

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M. Eshaghi Gordji, N. Ghobadipour, C. Park. 2008-12-15. Jordan *-homomorphisms on $C^*$-algebras. https://arxiv.org/abs/0812.2928

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