paper

A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules

arXiv:2409.20057

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.

Second version, 20 pages. Minor errors are corrected. Comments are welcome

A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules · wovepaper