On two equivalent dilation theorems in VH-spaces
dc.citation.epage | 650 | en_US |
dc.citation.issueNumber | 3 | en_US |
dc.citation.spage | 625 | en_US |
dc.citation.volumeNumber | 6 | en_US |
dc.contributor.author | Gheondea, A. | en_US |
dc.contributor.author | Ugurcan, B. E. | en_US |
dc.date.accessioned | 2016-02-08T09:46:31Z | |
dc.date.available | 2016-02-08T09:46:31Z | |
dc.date.issued | 2012 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | We prove that a generalized version, essentially obtained by R. M. Loynes, of the B. Sz.-Nagy's Dilation Theorem for B*(H)-valued (here H is a VH-space in the sense of Loynes) positive semidefinite maps on *-semigroups is equivalent with a generalized version of the W. F. Stinespring's Dilation Theorem for B*(H)-valued completely positive linear maps on B*-algebras. This equivalence result is a generalization of a theorem of F. H. Szafraniec, originally proved for the case of operator valued maps (that is, when H is a Hilbert space). © 2011 Springer Basel AG. | en_US |
dc.description.provenance | Made available in DSpace on 2016-02-08T09:46:31Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012 | en |
dc.identifier.doi | 10.1007/s11785-011-0191-9 | en_US |
dc.identifier.eissn | 1661-8262 | |
dc.identifier.issn | 1661-8254 | |
dc.identifier.uri | http://hdl.handle.net/11693/21449 | |
dc.language.iso | English | en_US |
dc.publisher | Birkhaeuser Science | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1007/s11785-011-0191-9 | en_US |
dc.source.title | Complex Analysis and Operator Theory | en_US |
dc.subject | Operator Versus | en_US |
dc.subject | Positive Semidefinite Complex | en_US |
dc.subject | Complex Vector Space | en_US |
dc.subject | Compact Hausdorff Space | en_US |
dc.subject | Boundedness Condition | en_US |
dc.title | On two equivalent dilation theorems in VH-spaces | en_US |
dc.type | Article | en_US |
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