W. Arveson: "Subalgebras of C*-algebras", Acta math. 123 (1969) 141 - 224

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Quantum Information Theory - an Invitation - Werner (2001)   (2 citations)  (Correct)

....of the system, or in physical terms all delayed choice measurements consistent with a given interaction between system and environment. By analogy with results 35 for states on abelian algebras (probability measures) and states on C algebras we call it a Radon Nikodym Theorem. For a proof see [36]. Theorem 5 (Radon Nikodym Theorem) Let T x : Mn #M m , x # X be a family of completely positive maps, and let V : C m # C n# C # be the Stinespring operator of T = # x T x . Then there are uniquely determined positive operators F x #M # with # x F x =1I such that T x (X) V # ....

W. Arveson: "Subalgebras of C*-algebras", Acta math. 123 (1969) 141 - 224

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