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JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS

박춘길|Madjid Eshaghi Gordji|Norooz Ghobadipour
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회논문집 (Communications of the KMS)|제27권 제1호|pp. 149-158

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참고문헌

키워드

generalized Hyers-Ulam stabilityJordan *-homomorphismC*-algebrafunctional equation and inequality
주제분류수학

초록

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 $${\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel$$.

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 $${\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel$$.

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