APOLLONIUS TYPE ADDITIVE FUNCTIONAL EQUATIONS IN C*-TERNARY ALGEBRAS AND JB*-TRIPLES

作者：Cho Yeol Je; Saadati Reza; Yang Young Oh^*

来源：Journal of Computational Analysis and Applications, 2015, 19(3): 470-479.

• Apollonius type additive functional equation
• C*-ternary algebra homomorphism
• generalized Hyers-Ulam stability
• C*-ternary derivation
• JB*-triple homomorphism
• JB*-triple derivation

In this paper, we consider the following Apollonius type additive functional equation:
f(z - x) + f(z - y) = -1/2f(x + y) + 2f(z -x +y/4)
and investigate homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras and homomorphisms between JB*-triples and derivations on JB*-triples under general control functions. Our paper extend the results obtained by Park and Rassias [Choonkil Park and Themistocles M. Rassias, Homomorphisms in C*-ternary algebras and JB*-triples, J. Math. Anal. Appl. 337(2008), 13-20].

• 出版日期2015-9