TERNARY HOMOMORPHISMS BETWEEN UNITAL TERNARY C*-ALGEBRAS

Gordji, ME; Rassias, TM

dc.contributor.author	Gordji, ME	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T02:07:08Z
dc.date.available	2014-03-01T02:07:08Z
dc.date.issued	2011	en
dc.identifier.issn	1454-9069	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29519
dc.subject	Ternary homomorphism	en
dc.subject	Ternary C*-algebra	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	ULAM-RASSIAS STABILITY	en
dc.subject.other	FUNCTIONAL-EQUATION	en
dc.subject.other	ADDITIVE MAPPINGS	en
dc.subject.other	BANACH-SPACES	en
dc.title	TERNARY HOMOMORPHISMS BETWEEN UNITAL TERNARY C*-ALGEBRAS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Let A, B be two unital ternary C-algebras. We prove that every almost unital almost linear mapping h:A -> B which satisfies h([3(n)u3(n)vy](A)) = [h(3(n)u)h(3(n)v)h(y)](B) for all u, v is an element of U(A), all y is an element of A, and all n = 0,1,2, ... , is a ternary homomorphism. Also, for a unital ternary C-algebra A of real rank zero, every almost unital almost linear continuous mapping h:A -> B is a ternary homomorphism when h([3(n)u3(n)vy](A)) = [h(3(n)u)h(3(n)v)h(y)](B) holds for all u, v is an element of I-1(A(Sa)), all y is an element of A, and all n = 0,1,2, ... . Furthermore, we investigate the Hyers-Ulam-Rassias stability of ternary homomorphisms between unital ternary C*-algebras.	en
heal.publisher	EDITURA ACAD ROMANE	en
heal.journalName	PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE	en
dc.identifier.isi	ISI:000295898200004	en
dc.identifier.volume	12	en
dc.identifier.issue	3	en
dc.identifier.spage	189	en
dc.identifier.epage	196	en