On a generalized trif's mapping in Banach modules over a c*-algebra

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dc.contributor.author Park, C-G en
dc.contributor.author Rassias, TM en
dc.date.accessioned 2014-03-01T01:24:46Z
dc.date.available 2014-03-01T01:24:46Z
dc.date.issued 2006 en
dc.identifier.issn 0304-9914 en
dc.identifier.uri http://hdl.handle.net/123456789/17425
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-33644804175&partnerID=40&md5=05bdaa1a312c8de627c3d6aafc213b08 en
dc.subject C*-algebra homomorphism en
dc.subject Cauchy-Rassias stability en
dc.subject Lie JC*-algebra derivation en
dc.subject Lie JC*-algebra homomorphisrn en
dc.subject Trif's functional equation en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other ULAM-RASSIAS STABILITY en
dc.subject.other FUNCTIONAL-EQUATION en
dc.subject.other JENSENS EQUATION en
dc.subject.other SPACES en
dc.title On a generalized trif's mapping in Banach modules over a c*-algebra en
heal.type journalArticle en
heal.language English en
heal.publicationDate 2006 en
heal.abstract Let X and Y be vector spaces. It is shown that a mapping f : X --> Y satisfies the functional equation [GRAPHICS] if and only if the mapping f : X --> Y is additive, and we prove the Cauchy-Rassias stability of the functional equation (double dagger) in Banach modules over a unital C*-algebra. Let A and B be unital C*-algebras or Lie JC*-algebras. As an application, we show that every almost homomorphism h: A --> B of A into B is a homomorphism when h(2(d)uy) = h(2(d)u)h(y) or h(2(d)u circle y) = h(2(d)u) circle h(y) for all unitaries u is an element of A, all y is an element of A, and d = 0, 1, 2,..., and that every almost linear almost multiplicative mapping h : A --> B is a homornorphism when h(2x) = 2h(x) for all x is an element of A. Moreover, we prove the Cauchy-Rassias stability of homomorphisms in C*-algebras or in Lie JC*-algebras, and of Lie JC*-algebra derivations in Lie JC*-algebras. en
heal.journalName Journal of the Korean Mathematical Society en
dc.identifier.isi ISI:000235770200008 en
dc.identifier.volume 43 en
dc.identifier.issue 2 en
dc.identifier.spage 323 en
dc.identifier.epage 356 en

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