POSITIVE LINEAR OPERATORS IN C*-ALGEBRAS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | An, Jong Su | - |
dc.date.accessioned | 2022-12-20T21:13:58Z | - |
dc.date.available | 2022-12-20T21:13:58Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2009-09 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176291 | - |
dc.description.abstract | It is shown that every almost positive linear mapping h : A 13 of a Banach *-algebra A to a Banach *-algebra 13 is a positive linear Operator when h(rx) = rh(x) (r > 1) holds for all x E A, and that every almost linear mapping h : A -> B of a unital C*-algebra A to a unital C*-algebra B is a positive linear operator when h(2(n)u*y) = h(2(n)u)* h(y) holds for all unitaries a is an element of A, all y is an element of A, and all n = 0,1,2, ... , by using the Flyers-Ulam-Rassias stability of functional equations. Under a more weak condition than the condition as given above, we prove that every almost linear mapping h : A -> B of a unital C*-algebra A to a unital C*-algebra B is a positive linear operator. It is applied to investigate states, center states and center-valued traces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | POSITIVE LINEAR OPERATORS IN C*-ALGEBRAS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.4134/BKMS.2009.46.5.1031 | - |
dc.identifier.scopusid | 2-s2.0-70349990704 | - |
dc.identifier.wosid | 000285698900019 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.46, no.5, pp.1031 - 1040 | - |
dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 46 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1031 | - |
dc.citation.endPage | 1040 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001379702 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ULAM-RASSIAS STABILITY | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | ISOMORPHISMS | - |
dc.subject.keywordAuthor | C*-algebra | - |
dc.subject.keywordAuthor | positive linear operator | - |
dc.subject.keywordAuthor | state | - |
dc.subject.keywordAuthor | Flyers-Ulam-Rassias stability | - |
dc.subject.keywordAuthor | linear functional equation | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO200927941500959.page | - |
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