BI-ADDITIVE s-FUNCTIONAL INEQUALITIES AND QUASI-MULTIPLIERS ON BANACH ALGEBRAS
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Jin, Yuanfeng | - |
dc.contributor.author | Zhang, Xiaohong | - |
dc.date.accessioned | 2022-07-10T15:02:00Z | - |
dc.date.available | 2022-07-10T15:02:00Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0035-7596 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148665 | - |
dc.description.abstract | In this paper, we solve the following bi-additive s-functional inequalities: parallel to f( x + y, z - w ) + f( x - y, z + w ) - 2f( x, z )+2f ( y, w )parallel to <= parallel to s(2f(x+y/2, z-w) + 2f (x-y/2, z+w) - 2f(x, z) + 2f(y, w))parallel to, parallel to 2f(x+y/2, z-w)+2f(x-y/2, z+w)-2f(x, z)+2f(y, w)parallel to <= parallel to s(f(x+y, z-w)+f(x-y, z+w)-2f(x, z)+2f(y, w))parallel to, where s is a fixed nonzero complex number with vertical bar s vertical bar < 1. We also prove the Hyers-Ulam stability of quasi-multipliers on Banach algebras and unital C*-algebras associated with the bi-additive s-functional inequalities above. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ROCKY MT MATH CONSORTIUM | - |
dc.title | BI-ADDITIVE s-FUNCTIONAL INEQUALITIES AND QUASI-MULTIPLIERS ON BANACH ALGEBRAS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1216/RMJ-2019-49-2-593 | - |
dc.identifier.scopusid | 2-s2.0-85068997219 | - |
dc.identifier.wosid | 000472716700014 | - |
dc.identifier.bibliographicCitation | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.49, no.2, pp.593 - 607 | - |
dc.relation.isPartOf | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.citation.title | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 49 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 593 | - |
dc.citation.endPage | 607 | - |
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 | - |
dc.subject.keywordPlus | DERIVATIONS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | HOMOMORPHISMS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordAuthor | bi-additive s -functional inequality | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | quasi-multiplier on C ∗ -algebras | - |
dc.subject.keywordAuthor | quasi-multiplier on Banach algebras | - |
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