Generalized additive mapping in Banach modules and isomorphisms between C*-algebras

Baak, C; Boo, D-H; Rassias, TM

dc.contributor.author	Baak, C	en
dc.contributor.author	Boo, D-H	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:24:28Z
dc.date.available	2014-03-01T01:24:28Z
dc.date.issued	2006	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17266
dc.subject	Banach module over C*-algebra	en
dc.subject	C*-algebra isomorphism	en
dc.subject	Functional equation in d variables	en
dc.subject	Hyers-Ulam stability	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	FUNCTIONAL-EQUATIONS	en
dc.subject.other	RASSIAS STABILITY	en
dc.subject.other	HOMOMORPHISMS	en
dc.subject.other	DERIVATIONS	en
dc.subject.other	ULAM	en
dc.subject.other	SPACES	en
dc.title	Generalized additive mapping in Banach modules and isomorphisms between C*-algebras	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2005.03.099	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2005.03.099	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Let X, Y be vector spaces. It is shown that if an odd mapping f : X → Y satisfies the functional equation rf(∑j=1dxj/r) + ∑ι(j)=0,1 ∑j=1dι(j)=l rf(∑j=1d)(-1) ι(j)xj/r) = (d-1Cl-d-1Cl-1+1) ∑j=1d f(xj) (1) then the odd mapping f : X → Y is additive, and we prove the Hyers-Ulam stability of the functional equation (1) in Banach modules over a unital C-algebra. As an application, we show that every almost linear bijection h : A → B of a unital C-algebra A onto a unital C-algebra B is a C-algebra isomorphism when h(2n/rnuy) = h(2n/rnu) h(y) for all unitaries u ∈ A, all y ∈ A, and n = 0, 1, 2,.... © 2005 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.2005.03.099	en
dc.identifier.isi	ISI:000233882200011	en
dc.identifier.volume	314	en
dc.identifier.issue	1	en
dc.identifier.spage	150	en
dc.identifier.epage	161	en