Stochastic Processes and Spectral Analysis for Hilbert C*-Module-Valued Maps
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2022-07-12T17:15:00Z | - |
dc.date.available | 2022-07-12T17:15:00Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-01 | - |
dc.identifier.issn | 0126-6705 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150712 | - |
dc.description.abstract | In this paper, we consider Hilbert -module-valued random variables and discuss about their expectations, covariance operators and correlation operators by introducing some adjointable operators on Hilbert -modules. We also study Hilbert -module-valued stochastic processes instead of Hilbert space-valued processes as a generalization. Using the characterization of -algebra-valued bimeasures, we prove the equivalence between V-boundedness and harmonizability of Hilbert -module-valued stochastic processes. Finally, we consider Hilbert -module operator-valued stochastic processes and construct spectral distributions associated with Hilbert -module operator-valued stationary stochastic processes. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGERNATURE | - |
dc.title | Stochastic Processes and Spectral Analysis for Hilbert C*-Module-Valued Maps | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1007/s40840-015-0270-6 | - |
dc.identifier.scopusid | 2-s2.0-85043398171 | - |
dc.identifier.wosid | 000419716700012 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, v.41, no.1, pp.191 - 206 | - |
dc.relation.isPartOf | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | - |
dc.citation.title | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | - |
dc.citation.volume | 41 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 191 | - |
dc.citation.endPage | 206 | - |
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 | INTERPOLATION PROBLEM | - |
dc.subject.keywordPlus | STATIONARY | - |
dc.subject.keywordPlus | DILATIONS | - |
dc.subject.keywordAuthor | Hilbert C*-module-valued random variable | - |
dc.subject.keywordAuthor | Covariance operator and correlation operator on a Hilbert C*-module- | - |
dc.subject.keywordAuthor | C*-algebra-valued bimeasure | - |
dc.subject.keywordAuthor | Harmonizable stochastic process | - |
dc.subject.keywordAuthor | Spectral distribution | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s40840-015-0270-6 | - |
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