1 Ocak 2012 Dergi makalesi Açık Erişim

Gheondea, Aurelian; Ugurcan, Baris Evren

Citation Style Language JSON

{
  "DOI": "10.1007/s11785-011-0191-9", 
  "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).", 
  "author": [
    {
      "family": "Gheondea", 
      "given": " Aurelian"
    }, 
    {
      "family": "Ugurcan", 
      "given": " Baris Evren"
    }
  ], 
  "container_title": "COMPLEX ANALYSIS AND OPERATOR THEORY", 
  "id": "83727", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2012, 
        1, 
        1
      ]
    ]
  }, 
  "page": "625-650", 
  "title": "On Two Equivalent Dilation Theorems in VH-Spaces", 
  "type": "article-journal", 
  "volume": "6"
}