A Radon-Nikodym type theorem for invariant symmetric completely positive and completely bounded multilinear maps on HilbertC*-modules

Abstract

We introduce a partial order relation on the set of all completely positive pairs of invariant symmetric and completely bounded multilinear maps on HilbertC*-modules andC*-algebras and establish a Radon-Nikodym type theorem for these pairs in terms of their Stinespring type representations.