alpha-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODYM THEOREM
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.contributor.author | Ji, Un Cig | - |
dc.contributor.author | Kim, Young Yi | - |
dc.date.accessioned | 2022-07-16T11:45:07Z | - |
dc.date.available | 2022-07-16T11:45:07Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2013-01 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/163670 | - |
dc.description.abstract | In this paper, we study alpha-completely positive maps between locally C*-algebras. As a generalization of a completely positive map, an a-completely positive map produces a Krein space with indefinite metric, which is useful for the study of massless or gauge fields. We construct a KSGNS type representation associated to an a-completely positive map of a locally C*-algebra on a Krein locally C*-module. Using this construction, we establish the Radon-Nikodym type theorem for alpha-completely positive maps on locally C*-algebras. As an application, we study an extremal problem in the partially ordered cone of a-completely positive maps on a locally C*-algebra. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | alpha-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODYM THEOREM | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.4134/JKMS.2013.50.1.061 | - |
dc.identifier.scopusid | 2-s2.0-84874039248 | - |
dc.identifier.wosid | 000313475900004 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.1, pp.61 - 80 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 50 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 61 | - |
dc.citation.endPage | 80 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001721380 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | TENSOR-PRODUCTS | - |
dc.subject.keywordPlus | INVERSE LIMITS | - |
dc.subject.keywordAuthor | locally C*-algebra | - |
dc.subject.keywordAuthor | Hilbert locally C*-module | - |
dc.subject.keywordAuthor | alpha-completely positive map | - |
dc.subject.keywordAuthor | J-representation | - |
dc.subject.keywordAuthor | Krein module | - |
dc.subject.keywordAuthor | minimal Krein quadruple | - |
dc.subject.keywordAuthor | non-commutative Radon-Nikodym theorem | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO201305061576545.page | - |
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