1 Ocak 2012 Dergi makalesi Açık Erişim

Gheondea, Aurelian; Ugurcan, Baris Evren

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/83727</identifier>
  <creators>
    <creator>
      <creatorName>Gheondea, Aurelian</creatorName>
      <givenName>Aurelian</givenName>
      <familyName>Gheondea</familyName>
    </creator>
    <creator>
      <creatorName>Ugurcan, Baris Evren</creatorName>
      <givenName>Baris Evren</givenName>
      <familyName>Ugurcan</familyName>
      <affiliation>Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Two Equivalent Dilation Theorems In Vh-Spaces</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2012</publicationYear>
  <dates>
    <date dateType="Issued">2012-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/83727</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s11785-011-0191-9</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">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).</description>
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