Stability of a Generalized Euler-Lagrange Type Additive Mapping and Homomorphisms in C*-Algebras
DC Field | Value | Language |
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dc.contributor.author | Najati, Abbas | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-12-20T21:21:57Z | - |
dc.date.available | 2022-12-20T21:21:57Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2009-08 | - |
dc.identifier.issn | 1687-1839 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176387 | - |
dc.description.abstract | Let X, Y be Banach modules over a C*-algebra and let r(1),..., r(n) is an element of R be given. We prove the generalized Hyers-Ulam stability of the following functional equation in Banach modules over a unital C*-algebra: Sigma(n)(j=1) f (-r(j)x(j) + Sigma(1 <= i <= n,i not equal j) r(i)x(i)) + 2 Sigma(n)(i=1)r(i)f(x(i)) = nf (Sigma(n)(i=1) r(i)x(i)). We show that if Sigma(n)(i=1) r(i) not equal 0, r(i), r(j) not equal 0 for some 1 <= i <= j <= n and a mapping f : X -> Y satisfies the functional equation mentioned above then the mapping f : X -> Y is Cauchy additive. As an application, we investigate homomorphisms in unital C*-algebras. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.title | Stability of a Generalized Euler-Lagrange Type Additive Mapping and Homomorphisms in C*-Algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1155/2009/273165 | - |
dc.identifier.scopusid | 2-s2.0-70349731697 | - |
dc.identifier.wosid | 000270473700001 | - |
dc.identifier.bibliographicCitation | ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 22 | - |
dc.relation.isPartOf | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.title | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 22 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | HYERS-ULAM STABILITY | - |
dc.subject.keywordPlus | APPROXIMATELY LINEAR MAPPINGS | - |
dc.subject.keywordPlus | RASSIAS STABILITY | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | BANACH MODULES | - |
dc.subject.keywordPlus | JENSEN | - |
dc.subject.keywordPlus | ISOMORPHISMS | - |
dc.subject.keywordPlus | DERIVATIONS | - |
dc.identifier.url | https://advancesindifferenceequations.springeropen.com/articles/10.1155/2009/273165 | - |
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