Completely positive maps on Hilbert modules over pro-C*-algebras
Operator Algebras
2017-01-05 v1
Abstract
We derive Paschke's GNS construction for completely positive maps on unital pro-C*-algebras from the KSGNS construction, presented by M. Joita [J. London Math. Soc. {\bf 66} (2002), 421--432], and then we deduce an analogue of Stinespring theorem for Hilbert modules over pro-C*-algebras. Also, we obtain a Radon-Nikodym type theorem for operator valued completely positive maps on Hilbert modules over pro-C*-algebras.
Keywords
Cite
@article{arxiv.1611.04759,
title = {Completely positive maps on Hilbert modules over pro-C*-algebras},
author = {Khadijeh Karimi and Kamran Sharifi},
journal= {arXiv preprint arXiv:1611.04759},
year = {2017}
}
Comments
15 pages, accepted. arXiv admin note: text overlap with arXiv:1611.04707