Superstability of an Exponential Equation in C*-Algebras
DC Field | Value | Language |
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dc.contributor.author | Kim, Gwang Hui | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-07-07T07:39:28Z | - |
dc.date.available | 2022-07-07T07:39:28Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 1422-6383 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143851 | - |
dc.description.abstract | The aim of this paper is to prove the superstability of the following functional equations f(x+y/m)(m) = g(x)h(y), where f,g,h : V-2 -> A are unknown mappings and m is a fixed positive integer. Here V is a vector space, and A is a unital normed algebra. Furthermore, we prove the superstability of the following generalized Pexider exponential equation f(x+y/r)(r) = g(x)h(y), where f, g, h : V-2 -> I(A) boolean AND A(+) are unknown mappings and r is a fixed nonzero rational number. Here V is a vector space, I(A) is the set of all invertible elements in a commutative unital C*-algebra A and A(+) is the positive cone of A. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.title | Superstability of an Exponential Equation in C*-Algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1007/s00025-014-0404-4 | - |
dc.identifier.scopusid | 2-s2.0-84961354748 | - |
dc.identifier.wosid | 000348983000011 | - |
dc.identifier.bibliographicCitation | RESULTS IN MATHEMATICS, v.67, no.1-2, pp.197 - 205 | - |
dc.relation.isPartOf | RESULTS IN MATHEMATICS | - |
dc.citation.title | RESULTS IN MATHEMATICS | - |
dc.citation.volume | 67 | - |
dc.citation.number | 1-2 | - |
dc.citation.startPage | 197 | - |
dc.citation.endPage | 205 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | superstability | - |
dc.subject.keywordAuthor | C*-Algebra | - |
dc.subject.keywordAuthor | generalized Pexider exponential equation | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s00025-014-0404-4 | - |
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