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http://dx.doi.org/10.4134/CKMS.2012.27.1.149

JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS  

Gordji, Madjid Eshaghi (Department of Mathematics Semnan University)
Ghobadipour, Norooz (Department of Mathematics Semnan University)
Park, Choon-Kil (Department of Mathematics Hanyang University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.1, 2012 , pp. 149-158 More about this Journal
Abstract
In this paper, we prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional equation$$f(\frac{-x+y}{3})+f(\frac{x-3z}{c})+f(\frac{3x-y+3z}{3})=f(x)$$. Morever, we investigate Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional inequality $${\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel$$.
Keywords
Jordan *-homomorphism; $C^*$-algebra; generalized Hyers-Ulam stability; functional equation and inequality;
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