Hyers-Ulam-Rassias stability of a generalized Apollonius-Jensen type additive mapping and isomorphisms between C*-algebras
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-12-21T04:14:57Z | - |
dc.date.available | 2022-12-21T04:14:57Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2008-02 | - |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/178979 | - |
dc.description.abstract | Let X, Y be Banach modules over a C *-algebra. We prove the Hyers–Ulam–Rassias stability of the following functional equation in Banach modules over a unital C *-algebra: equation image It is shown that a mapping f: X → Y satisfies the above functional equation and f (0) = 0 if and only if the mapping 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 (2d uy) = h (2d u) h (y) for all unitaries u ∈ A, all y ∈ A, and all d ∈ Z. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | WILEY-V C H VERLAG GMBH | - |
dc.title | Hyers-Ulam-Rassias stability of a generalized Apollonius-Jensen type additive mapping and isomorphisms between C*-algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1002/mana.200510611 | - |
dc.identifier.scopusid | 2-s2.0-42949179415 | - |
dc.identifier.wosid | 000254171600008 | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE NACHRICHTEN, v.281, no.3, pp.402 - 411 | - |
dc.relation.isPartOf | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.title | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.volume | 281 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 402 | - |
dc.citation.endPage | 411 | - |
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 | FUNCTIONAL-EQUATIONS | - |
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 Apollonius-Jensen type additive mapping | - |
dc.subject.keywordAuthor | isomorphism between C*-algebras | - |
dc.identifier.url | https://onlinelibrary.wiley.com/doi/10.1002/mana.200510611 | - |
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