Hilbert C*-modules and projective representations associated with multipliers
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2022-12-21T07:17:36Z | - |
dc.date.available | 2022-12-21T07:17:36Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2007-07 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179884 | - |
dc.description.abstract | In this paper we consider projective sigma-representations and give the dilations associated with the representations. To unify the various representation theorem, we use the Kolmogorov decompositions for positive definite kernels. We present dilation theorems for projective sigma-representations, which generalize Stinespring dilation theorem for covariant completely positive maps as well as Naimark-Sz.-Nagy characterization of positive definite functions. We also construct a representation of a right Hilbert C*-module for a strictly U-covariant and completely positive map. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Hilbert C*-modules and projective representations associated with multipliers | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1016/j.jmaa.2006.08.072 | - |
dc.identifier.scopusid | 2-s2.0-33947151474 | - |
dc.identifier.wosid | 000245870800037 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.331, no.1, pp.499 - 505 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 331 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 499 | - |
dc.citation.endPage | 505 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Hilbert C* -module | - |
dc.subject.keywordAuthor | projective sigma-representation | - |
dc.subject.keywordAuthor | positive definite | - |
dc.subject.keywordAuthor | minimal Kolmogorov decomposition | - |
dc.subject.keywordAuthor | covariant completely positive linear map | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022247X06009188?via%3Dihub | - |
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