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

2012/10/21 by Marat Pliev, Pliev, Marat
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA

paper · pdf · doi:10.48550/arxiv.1210.5716

8 pages

arxiv created 2012/10/21 · openalex publication_date 2012/10/21 · arxiv updated 2012/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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