Approximation of linear mappings in Banach modules over C*-algebras
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Cho, Yeol Je | - |
dc.contributor.author | Saadati, Reza | - |
dc.date.accessioned | 2022-07-16T10:24:46Z | - |
dc.date.available | 2022-07-16T10:24:46Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2013-04 | - |
dc.identifier.issn | 1025-5834 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/163050 | - |
dc.description.abstract | Let X, Y be Banach modules over a C*-algebra and let r(1), ..., r(n). R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C*-algebra: Sigma(n)(j=1) f(1/2 Sigma(1 <= i <= n,i not equal j) r(i)x(i) - 1/2r(j)x(j)) + Sigma(n)(i=1) r(i)f(x(i)) = nf(1/2 Sigma(n)(i=1) r(i)x(i)). As an application, we investigate homomorphisms in unital C*-algebras. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.title | Approximation of linear mappings in Banach modules over C*-algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1186/1029-242X-2013-185 | - |
dc.identifier.scopusid | 2-s2.0-84893367375 | - |
dc.identifier.wosid | 000320136900001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 15 | - |
dc.relation.isPartOf | JOURNAL OF INEQUALITIES AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF INEQUALITIES AND APPLICATIONS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 15 | - |
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 | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | RASSIAS STABILITY | - |
dc.subject.keywordPlus | FUZZY STABILITY | - |
dc.subject.keywordPlus | HOMOMORPHISMS | - |
dc.subject.keywordPlus | SUPERSTABILITY | - |
dc.subject.keywordAuthor | fixed point | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | super-stability | - |
dc.subject.keywordAuthor | generalized Euler-Lagrange type additive mapping | - |
dc.subject.keywordAuthor | homomorphism | - |
dc.subject.keywordAuthor | C*-algebra | - |
dc.identifier.url | https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-185 | - |
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