Comparison of Completely Positive Maps on Hilbert C*-Modules

Abstract

We introduce a preorder relation in the collection of all operator valued completely positive maps on a full Hilbert C*-module and characterize this relation in terms of the Stinespring construction associated to each completely positive map.

Definition 2.8 has been corrected

References in corpus (2)

• Stinespring's theorem for maps on Hilbert C*-modules
• A Radon-Nikodym theorem for completely n-positive linear maps on pro-C*-algebras and its applications