Poisson Banach modules over a Poisson C*-algebra
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-12-21T00:05:49Z | - |
dc.date.available | 2022-12-21T00:05:49Z | - |
dc.date.created | 2022-09-16 | - |
dc.date.issued | 2008-12 | - |
dc.identifier.issn | 1225-6951 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177571 | - |
dc.description.abstract | It is shown that every almost linear mapping h: A → B of a unital Poisson C*-algebra A to a unital Poisson C*-algebra B is a Poisson C*-algebra homomorphism when h(2nuy) = h(2nu)h(y) or h(3nuy) = h(3nu)h(y) for all y 2 A, all unitary elements u ∈ A and n = 0, 1, 2, and that every almost linear almost multiplicative mapping h: A → B is a Poisson C*-algebra homomorphism when h(2x) = 2h(x) or h(3x) = 3h(x) for all x ∈ A. Here the numbers 2, 3 depend on the functional equations given in the almost linear mappings or in the almost linear almost multiplicative mappings. We prove the Cauchy-Rassias stability of Poisson C*-algebra homomorphisms in unital Poisson C*-algebras, and of homomorphisms in Poisson Banach modules over a unital Poisson C*-algebra. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Kyungpook National University | - |
dc.title | Poisson Banach modules over a Poisson C*-algebra | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.5666/KMJ.2008.48.4.529 | - |
dc.identifier.scopusid | 2-s2.0-77950493939 | - |
dc.identifier.bibliographicCitation | Kyungpook Mathematical Journal, v.48, no.4, pp.529 - 543 | - |
dc.relation.isPartOf | Kyungpook Mathematical Journal | - |
dc.citation.title | Kyungpook Mathematical Journal | - |
dc.citation.volume | 48 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 529 | - |
dc.citation.endPage | 543 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001297567 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.subject.keywordAuthor | Linear functional equation | - |
dc.subject.keywordAuthor | Poisson Banach module | - |
dc.subject.keywordAuthor | Poisson C*-algebra | - |
dc.subject.keywordAuthor | Poisson C*-algebra homomorphism | - |
dc.subject.keywordAuthor | Stability | - |
dc.identifier.url | https://kmj.knu.ac.kr/journal/view.html?volume=48&number=4&spage=529 | - |
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