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On Two Equivalent Dilation Theorems in VH-Spaces

Gheondea, Aurelian; Ugurcan, Baris Evren


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  <dc:creator>Gheondea, Aurelian</dc:creator>
  <dc:creator>Ugurcan, Baris Evren</dc:creator>
  <dc:date>2012-01-01</dc:date>
  <dc:description>We prove that a generalized version, essentially obtained by R.M. Loynes, of the B. Sz.-Nagy's Dilation Theorem for -valued (here 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 -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 is a Hilbert space).</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/83727</dc:identifier>
  <dc:identifier>oai:zenodo.org:83727</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>COMPLEX ANALYSIS AND OPERATOR THEORY 6(3) 625-650</dc:source>
  <dc:title>On Two Equivalent Dilation Theorems in VH-Spaces</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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