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APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS

박원길|배재형
대한수학회 (The Korean Mathematical Society)|2010.01|대한수학회보 (Bulletin of the KMS)|제47권 제1호|pp. 195-209

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참고문헌

키워드

bi-additive mappingC*-ternary algebra
주제분류수학

초록

In this paper, we prove the generalized Hyers-Ulam stability of bi-homomorphisms in C¤-ternary algebras and of bi-derivations on C*-ternary algebras for the following bi-additive functional equation f(x + y, z − w) + f(x − y, z + w) = 2f(x, z) − 2f(y,w). This is applied to investigate bi-isomorphisms between C¤-ternary algebras.

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of bi-homomorphisms in C¤-ternary algebras and of bi-derivations on C*-ternary algebras for the following bi-additive functional equation f(x + y, z − w) + f(x − y, z + w) = 2f(x, z) − 2f(y,w). This is applied to investigate bi-isomorphisms between C¤-ternary algebras.

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