A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules
Abstract
We introduce an equivalence relation on the set of all completely positive maps between Hilbert modules over pro-C*-algebras and analyze the Stinespring's construction for equivalent completely positive maps. We then give a preorder relation in the collection of all completely positive maps between Hilbert modules over pro-C*-algebras and obtain a Radon-Nikodym type theorem.
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