Stinespring type theorem for a finite family of maps on Hilbert C*-modules

Marat Pliev

Stinespring type theorem for a finite family of maps on Hilbert C*-modules

Operator Algebras 2012-10-23 v1

Authors: Marat Pliev

Abstract

The aim of this article is to extend the results of Asadi M.B, B.V.R. Bhat, G. Ramesh, K. Sumesh about completely positive maps on Hilbert C*-modules. We prove a Stinespring type theorem for a finite family of completely positive maps on Hilbert C*-modules. We also show that any two minimal Stinespring representations are unitarily equivalent.

Keywords

Hilbert C*-modules completely positive maps Stinespring theorem unitary equivalence minimal representations

Cite

@article{arxiv.1210.5716,
  title  = {Stinespring type theorem for a finite family of maps on Hilbert C*-modules},
  author = {Marat Pliev},
  journal= {arXiv preprint arXiv:1210.5716},
  year   = {2012}
}

Comments

8 pages

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