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dc.contributor.author허재성-
dc.date.accessioned2018-03-01T03:45:19Z-
dc.date.available2018-03-01T03:45:19Z-
dc.date.issued2013-01-
dc.identifier.citationJournal of the Korean Mathematical Society, 2013, 50(1), P.61-80en_US
dc.identifier.issn0304-9914-
dc.identifier.urihttp://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2013_v50n1_61-
dc.identifier.urihttp://hdl.handle.net/20.500.11754/41441-
dc.description.abstractIn 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.sponsorshipThis 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.isoenen_US
dc.publisherKorean Mathematical SOCen_US
dc.subjectlocally C*-algebraen_US
dc.subjectHilbert locally C*-moduleen_US
dc.subjectalpha-completely positive mapen_US
dc.subjectJ-representationen_US
dc.subjectKrein moduleen_US
dc.subjectminimal Krein quadrupleen_US
dc.subjectnon-commutative Radon-Nikodym theoremen_US
dc.subjectSTAR-ALGEBRASen_US
dc.subjectTENSOR-PRODUCTSen_US
dc.subjectHILBERT MODULESen_US
dc.subjectINVERSE LIMITSen_US
dc.titlealpha-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODYM THEOREMen_US
dc.typeArticleen_US
dc.relation.no1-
dc.relation.volume50-
dc.identifier.doi10.4134/JKMS.2013.50.1.061-
dc.relation.page61-80-
dc.relation.journalJOURNAL OF THE KOREAN MATHEMATICAL SOCIETY-
dc.contributor.googleauthorHeo, Jaeseong-
dc.contributor.googleauthorJi, Un Cig-
dc.contributor.googleauthorKim, Young Yi-
dc.relation.code2013005607-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF NATURAL SCIENCES[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS-
dc.identifier.pidhjs-
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COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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