Automorphisms on a C*-algebra and isomorphisms between lie JC*-algebras associated with a generalized additive mapping
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-12-21T09:37:37Z | - |
dc.date.available | 2022-12-21T09:37:37Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2007 | - |
dc.identifier.issn | 0362-1588 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180615 | - |
dc.description.abstract | Let X, Y be vector spaces, and let r be 1 or 3. It is shown that if an odd mapping f : X -> Y satisfies the functional equation [GRAPHICS] then the odd mapping f : X -> Y is additive, and we prove the Cauchy-Rassias stability of the functional equation (0.1) in Banach modules over a unital C*-algebra. As an application, we show that every almost linear bijective mapping h : A -> A on a unital C*-algebra A is an automorphism when h(3(n)uy) = h(3(n)u)h(y) for all unitaries u epsilon A, all y epsilon A and all n epsilon Z, and that every almost linear bijective mapping h : A -> B of a unital Lie JC*-algebra A onto a unital Lie JC*-algebra B is a Lie JC*-algebra isomorphism when h(3(n)u circle y) = h(3(n)u) circle h(y) for all y epsilon A, all unitaries u epsilon A and all n epsilon Z. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | UNIV HOUSTON | - |
dc.title | Automorphisms on a C*-algebra and isomorphisms between lie JC*-algebras associated with a generalized additive mapping | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.scopusid | 2-s2.0-35248821473 | - |
dc.identifier.wosid | 000250831500015 | - |
dc.identifier.bibliographicCitation | HOUSTON JOURNAL OF MATHEMATICS, v.33, no.3, pp.815 - 837 | - |
dc.relation.isPartOf | HOUSTON JOURNAL OF MATHEMATICS | - |
dc.citation.title | HOUSTON JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 33 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 815 | - |
dc.citation.endPage | 837 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | HYERS-ULAM STABILITY | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | BANACH-SPACES | - |
dc.subject.keywordAuthor | banach module over C*-algebra | - |
dc.subject.keywordAuthor | Cauchy-Rassias stability | - |
dc.subject.keywordAuthor | linear functional equation | - |
dc.subject.keywordAuthor | automorphism on C*-algebra | - |
dc.subject.keywordAuthor | Lie JC*-algebra isomorphism | - |
dc.identifier.url | https://www.math.uh.edu/~hjm/Vol33-3.html | - |
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