1 Ocak 2012 Dergi makalesi Açık Erişim

Gheondea, Aurelian; Ugurcan, Baris Evren

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    <subfield code="a">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).</subfield>
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    <subfield code="a">On Two Equivalent Dilation Theorems in VH-Spaces</subfield>
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    <subfield code="p">COMPLEX ANALYSIS AND OPERATOR THEORY</subfield>
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