Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 허재성 | - |
dc.date.accessioned | 2019-12-08T04:58:51Z | - |
dc.date.available | 2019-12-08T04:58:51Z | - |
dc.date.issued | 2018-05 | - |
dc.identifier.citation | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v. 48, no. 1, page. 249-268 | en_US |
dc.identifier.issn | 0035-7596 | - |
dc.identifier.issn | 1945-3795 | - |
dc.identifier.uri | https://projecteuclid.org/euclid.rmjm/1524880890 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/118789 | - |
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. | en_US |
dc.description.sponsorship | This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Science, ICT and Future Planning, grant No. 2014029581. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | ROCKY MT MATH CONSORTIUM | en_US |
dc.subject | alpha-positive/alpha-negative definite function | en_US |
dc.subject | Krein space | en_US |
dc.subject | J-representation | en_US |
dc.subject | J-cocycle | en_US |
dc.subject | proper (alpha, J)-action | en_US |
dc.title | alpha-POSITIVE/alpha-NEGATIVE DEFINITE FUNCTIONS ON GROUPS | en_US |
dc.type | Article | en_US |
dc.relation.no | 1 | - |
dc.relation.volume | 48 | - |
dc.identifier.doi | 10.1216/RMJ-2018-48-1-249 | - |
dc.relation.page | 249-268 | - |
dc.relation.journal | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.contributor.googleauthor | Heo, Jaeseong | - |
dc.relation.code | 2018006775 | - |
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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