Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 허재성 | - |
dc.date.accessioned | 2018-03-01T03:45:19Z | - |
dc.date.available | 2018-03-01T03:45:19Z | - |
dc.date.issued | 2013-01 | - |
dc.identifier.citation | Journal of the Korean Mathematical Society, 2013, 50(1), P.61-80 | en_US |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2013_v50n1_61 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/41441 | - |
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. | en_US |
dc.description.sponsorship | This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0005070).This research was supported by Basic Science Research Program through the NRF funded by the MEST (No. R01-2010-002-2514-0). | en_US |
dc.language.iso | en | en_US |
dc.publisher | Korean Mathematical SOC | en_US |
dc.subject | locally C*-algebra | en_US |
dc.subject | Hilbert locally C*-module | en_US |
dc.subject | alpha-completely positive map | en_US |
dc.subject | J-representation | en_US |
dc.subject | Krein module | en_US |
dc.subject | minimal Krein quadruple | en_US |
dc.subject | non-commutative Radon-Nikodym theorem | en_US |
dc.subject | STAR-ALGEBRAS | en_US |
dc.subject | TENSOR-PRODUCTS | en_US |
dc.subject | HILBERT MODULES | en_US |
dc.subject | INVERSE LIMITS | en_US |
dc.title | alpha-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODYM THEOREM | en_US |
dc.type | Article | en_US |
dc.relation.no | 1 | - |
dc.relation.volume | 50 | - |
dc.identifier.doi | 10.4134/JKMS.2013.50.1.061 | - |
dc.relation.page | 61-80 | - |
dc.relation.journal | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.contributor.googleauthor | Heo, Jaeseong | - |
dc.contributor.googleauthor | Ji, Un Cig | - |
dc.contributor.googleauthor | Kim, Young Yi | - |
dc.relation.code | 2013005607 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | hjs | - |
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