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Stability of homomorphisms and derivations in proper JCQ^{*}-triples associated to the Pexiderized Cauchy type mapping

박춘길|Abbas Najati|G. Zamani Eskandani
대한수학회 (The Korean Mathematical Society)|2009.01|대한수학회보 (Bulletin of the KMS)|제46권 제1호|pp. 45-60

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참고문헌

키워드

generalized Hyers--Ulam stabilityproper JCQ^{*}-triples homomorphismproper JCQ^{*}-triples derivation.
주제분류수학

초록

In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples.

Abstract

In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples.

참고문헌 (14)

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  10. A. Najati, "Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation", J. Math. Anal. Appl., 335(2), pp.763~778 (2007)
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  13. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72(2), pp.297~300 (1978)
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