A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules
Operator Algebras
2025-05-21 v2
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.
Keywords
Cite
@article{arxiv.2409.20057,
title = {A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules},
author = {Bhumi Amin and Ramesh Golla},
journal= {arXiv preprint arXiv:2409.20057},
year = {2025}
}
Comments
Second version, 20 pages. Minor errors are corrected. Comments are welcome