Homomorphism-derivation functional inequalities in C*-algebras
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Wu, XiaoYing | - |
dc.date.accessioned | 2022-07-08T20:19:01Z | - |
dc.date.available | 2022-07-08T20:19:01Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146511 | - |
dc.description.abstract | In this paper, we introduce and solve the following additive-additive (s, t)-functional inequality parallel to g (x + y) - g(x) - g(y)parallel to + parallel to 2h(x+y/2) - h(x) - h(y)parallel to (0,1) <= parallel to s(2g(x+y/2) - g(x) - g(y)parallel to + parallel to t(h(x=y) - h(x) - h(y))parallel to, where s and t are fixed nonzero complex numbers with vertical bar s vertical bar < 1 and vertical bar t vertical bar < 1. Furthermore, we investigate homomorphisms and derivations in complex Banach algebras and unital C*-algebras, associated to the additive-additive (s, t)-functional inequality (0.1) under some extra condition. Moreover, we introduce and solve the following additive-additive (s, t)-functional inequality parallel to g (x + y + z) - g(x) - g(y) g(z)parallel to + parallel to 3h (x + y +z/3) + h(x -2y + z) + h(x + y -2z) - 3h(x)parallel to <= parallel to s(3g(x+y+z/3) - g(x) - g(y) - g(z)parallel to (0,2) + parallel to t (h(x +y +z) + h(x - 2y + z) + h(x + y -2z) -3h(x))parallel to. where s and t are fixed nonzero complex numbers with vertical bar s vertical bar < 1 and vertical bar t vertical bar < 1. Furthermore, we investigate C*-ternary derivations and C*-ternary homomorphisms in C*-ternary algebras, associated to the additive-additive (s, t)-functional inequality (0.2) under some extra condition. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | Homomorphism-derivation functional inequalities in C*-algebras | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.3934/math.2020288 | - |
dc.identifier.scopusid | 2-s2.0-85085772069 | - |
dc.identifier.wosid | 000543396700027 | - |
dc.identifier.bibliographicCitation | AIMS MATHEMATICS, v.5, no.5, pp.4482 - 4493 | - |
dc.relation.isPartOf | AIMS MATHEMATICS | - |
dc.citation.title | AIMS MATHEMATICS | - |
dc.citation.volume | 5 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 4482 | - |
dc.citation.endPage | 4493 | - |
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 | ULAM-RASSIAS STABILITY | - |
dc.subject.keywordAuthor | additive-additive (s, t)-functional inequality | - |
dc.subject.keywordAuthor | derivation and homomorphism in C*-ternary algebra | - |
dc.subject.keywordAuthor | derivation and homomorphism in unital C*-algebra | - |
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