α-POSITIVE/α-NEGATIVE DEFINITE FUNCTIONS ON GROUPS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2022-07-12T19:59:48Z | - |
dc.date.available | 2022-07-12T19:59:48Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 0035-7596 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150871 | - |
dc.description.abstract | In this paper, we introduce the notions of an alpha-positive/alpha-negative definite function on a (discrete) group. We first construct the Naimark-GNS type representation associated to an alpha-positive definite function and prove the Schoenberg type theorem for a matricially bounded alpha-negative definite function. Using a J-representation on a Krein space (K, J) associated to a nonnegative normalized alpha-negative definite function, we also construct a J-cocycle associated to a J-representation. Using a J-cocycle, we show that there exist two sequences of alpha-positive definite functions and proper (alpha, J)-actions on a Krein space (K, J) corresponding to a proper matricially bounded a-negative definite function. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ROCKY MT MATH CONSORTIUM | - |
dc.title | α-POSITIVE/α-NEGATIVE DEFINITE FUNCTIONS ON GROUPS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1216/RMJ-2018-48-1-249 | - |
dc.identifier.scopusid | 2-s2.0-85046732830 | - |
dc.identifier.wosid | 000431383800013 | - |
dc.identifier.bibliographicCitation | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.48, no.1, pp.249 - 268 | - |
dc.relation.isPartOf | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.citation.title | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 48 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 249 | - |
dc.citation.endPage | 268 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | MAPS | - |
dc.subject.keywordPlus | REPRESENTATIONS | - |
dc.subject.keywordPlus | ALGEBRA | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordAuthor | alpha-positive/alpha-negative definite function | - |
dc.subject.keywordAuthor | Krein space | - |
dc.subject.keywordAuthor | J-representation | - |
dc.subject.keywordAuthor | J-cocycle | - |
dc.subject.keywordAuthor | proper (alpha, J)-action | - |
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