Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-C*-algebras: a fixed-point approach
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Saadati, Reza | - |
dc.date.accessioned | 2022-07-16T13:51:45Z | - |
dc.date.available | 2022-07-16T13:51:45Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2012-09 | - |
dc.identifier.issn | 1687-1839 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164754 | - |
dc.description.abstract | Let , be vector spaces. It is shown that if an odd mapping satisfies the functional equation (rf(Sigma(d)(j=1)x(j)/r) + Sigma(r(j)=0,1 Sigma j=1d iota(j)=1)) rf(Sigma(d)(j=1)(-1)(iota(j))x(j)/r) = (C-d-1(j)-(d-1) Cj-1 + 1) Sigma(d)(j=1) f(x(j)) then the odd mapping is additive, and we use a fixed-point method to prove the Hyers-Ulam stability of the functional equation (0.1) in multi-Banach modules over a unital multi--algebra. As an application, we show that every almost linear bijection of a unital multi--algebra onto a unital multi--algebra is a -algebra isomorphism when for all unitaries , all , and . MSC: 39B52, 46L05, 47H10, 47B48. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | - |
dc.title | Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-C*-algebras: a fixed-point approach | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1186/1687-1847-2012-162 | - |
dc.identifier.scopusid | 2-s2.0-84873404077 | - |
dc.identifier.wosid | 000313010200001 | - |
dc.identifier.bibliographicCitation | ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 14 | - |
dc.relation.isPartOf | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.title | ADVANCES IN DIFFERENCE EQUATIONS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 14 | - |
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 | NORMED-SPACES | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | ULAM | - |
dc.subject.keywordAuthor | C*-algebra isomorphism | - |
dc.subject.keywordAuthor | fixed point | - |
dc.subject.keywordAuthor | generalized additive functional equation | - |
dc.subject.keywordAuthor | generalized Hyers-Ulam stability | - |
dc.subject.keywordAuthor | multi-Banach module over multi-[InlineEquation not available: see fulltext.]-algebra | - |
dc.identifier.url | https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-162 | - |
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