Homomorphisms and derivations in proper JCQ ∗ -triples

Rassias, T

dc.contributor.author	Rassias, T	en
dc.date.accessioned	2014-03-01T01:56:51Z
dc.date.available	2014-03-01T01:56:51Z
dc.date.issued	2008	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28243
dc.subject	Functional Equation	en
dc.subject	generalized hyers-ulam stability	en
dc.title	Homomorphisms and derivations in proper JCQ ∗ -triples	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2007.04.063	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2007.04.063	en
heal.publicationDate	2008	en
heal.abstract	In this paper, we investigate homomorphisms in proper JCQ∗-triples and derivations on proper JCQ∗-triples associated with the following functional equation1kf(kx+ky+kz)=f(x)+f(y)+f(z) for a fixed positive integer k. We moreover prove the generalized Hyers–Ulam stability of homomorphisms in proper JCQ∗-triples and of derivations on proper JCQ∗-triples. This is applied to investigate isomorphisms between proper JCQ∗-triples.	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2007.04.063	en