Homomorphisms and derivations in proper JCQ*-triples

Park, C; Rassias, ThM

dc.contributor.author	Park, C	en
dc.contributor.author	Rassias, ThM	en
dc.date.accessioned	2014-03-01T01:28:38Z
dc.date.available	2014-03-01T01:28:38Z
dc.date.issued	2008	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18884
dc.subject	Functional equation	en
dc.subject	Generalized Hyers-Ulam stability	en
dc.subject	Proper JCQ*-triple derivation	en
dc.subject	Proper JCQ*-triple homomorphism	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	UNBOUNDED OPERATORS	en
dc.subject.other	ALGEBRAIC APPROACH	en
dc.subject.other	FUNCTIONAL-EQUATIONS	en
dc.subject.other	RASSIAS STABILITY	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	LASER MODEL	en
dc.subject.other	DYNAMICS	en
dc.subject.other	MAPPINGS	en
dc.subject.other	ULAM	en
dc.subject.other	FIELDS	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.language	English	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 equationfrac(1, k) f (k x + k y + k z) = 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. © 2007 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2007.04.063	en
dc.identifier.isi	ISI:000253172000057	en
dc.identifier.volume	337	en
dc.identifier.issue	2	en
dc.identifier.spage	1404	en
dc.identifier.epage	1414	en