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dc.contributor.authorGheondea, A.en_US
dc.date.accessioned2016-02-08T09:43:03Z
dc.date.available2016-02-08T09:43:03Z
dc.date.issued2012en_US
dc.identifier.issn0378-620X
dc.identifier.urihttp://hdl.handle.net/11693/21207
dc.description.abstractWe investigate VH-spaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of *-semigroups from the point of view of generation of *-representations, linearizations (Kolmogorov decompositions), and reproducing kernel spaces. We obtain a general dilation theorem in both Kolmogorov and reproducing kernel space representations, that unifies many dilation results, in particular B. Sz.-Nagy's and Stinesprings' dilation type theorems. © 2012 Springer Basel.en_US
dc.language.isoEnglishen_US
dc.source.titleIntegral Equations and Operator Theoryen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00020-012-2009-1en_US
dc.subject*-representationen_US
dc.subject*-semigroupen_US
dc.subjectAdmissible spaceen_US
dc.subjectB*-algebraen_US
dc.subjectCompletely positive mapen_US
dc.subjectDilationen_US
dc.subjectHermitian kernelen_US
dc.subjectInvariant kernelen_US
dc.subjectKolmogorov decompositionen_US
dc.subjectpositive semidefinite kernelen_US
dc.subjectReproducing kernelen_US
dc.subjectVH-spaceen_US
dc.subjectPrimary 47A20en_US
dc.subjectSecondary 43A35en_US
dc.subject46E22en_US
dc.subject46L89en_US
dc.titleDilations of some VH-spaces operator valued invariant Kernelsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage451en_US
dc.citation.epage479en_US
dc.citation.volumeNumber74en_US
dc.citation.issueNumber4en_US
dc.identifier.doi10.1007/s00020-012-2009-1en_US
dc.publisherSpringeren_US
dc.identifier.eissn1420-8989


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