Hyers-Ulam-Rassias stability of a generalized Euler-Lagrange type additive mapping and isomorphisms between C*-algebras
DC Field | Value | Language |
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dc.contributor.author | Park, Chun-Gil | - |
dc.date.accessioned | 2022-12-21T10:14:03Z | - |
dc.date.available | 2022-12-21T10:14:03Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2006-10 | - |
dc.identifier.issn | 1370-1444 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180959 | - |
dc.description.abstract | Let X, Y be Banach modules over a C*-algebra and let r(1),....r(n) epsilon (0, infinity) be given. We prove the Hyers-Ulam-Rassias stability of the following functional equation in Banach modules over a unital C*-algebra: Sigma(n)(i=1)r(i)f (Sigma(n)(j=1) rj (x(i)-x(j))) + (Sigma(n)(i=1) r(i)) f (Sigma(n)(i=1) r(i)x(i)) = (Sigma(n)(i-1)r(i)x(i)) = (Sigma(n)(i=1)r(i)) Sigma(n)(i=1)r(i)f(x(i)).(0.1) We show that if r(perpendicular to) =... = r(n) = r and odd mapping f : X -> Y satisfies the functional equation (0.1) then the odd inapping f : X -> Y is Cauchy additive. 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((nr)(d)uy) = h((nr)(d)u)h(y) for all nnitaries u epsilon A, all y epsilon A, and all d epsilon Z. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | BELGIAN MATHEMATICAL SOC TRIOMPHE | - |
dc.title | Hyers-Ulam-Rassias stability of a generalized Euler-Lagrange type additive mapping and isomorphisms between C*-algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Chun-Gil | - |
dc.identifier.doi | 10.36045/bbms/1168957339 | - |
dc.identifier.scopusid | 2-s2.0-33947598436 | - |
dc.identifier.wosid | 000245002200005 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v.13, no.4, pp.619 - 632 | - |
dc.relation.isPartOf | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | - |
dc.citation.title | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | - |
dc.citation.volume | 13 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 619 | - |
dc.citation.endPage | 632 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | QUADRATIC-MAPPINGS | - |
dc.subject.keywordPlus | BANACH MODULES | - |
dc.subject.keywordPlus | HOMOMORPHISMS | - |
dc.subject.keywordPlus | DERIVATIONS | - |
dc.subject.keywordPlus | SPACES | - |
dc.subject.keywordAuthor | Hyers-Ulam-Rassias stability | - |
dc.subject.keywordAuthor | generalized Euler-Lagrange type additive mapping | - |
dc.subject.keywordAuthor | isomorphism between C*-algebras | - |
dc.identifier.url | https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-13/issue-4/Hyers-Ulam-Rassias-stability-of-a-generalized-Euler-Lagrange-type/10.36045/bbms/1168957339.full | - |
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