Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778840 | Indagationes Mathematicae | 2017 | 15 Pages |
Abstract
In this paper, we introduce the concept of completely positive matrix of linear maps on Hilbert A-modules over locally Câ-algebras and prove an analogue of Stinespring theorem for it. We show that any two minimal Stinespring representations for such matrices are unitarily equivalent. Finally, we prove an analogue of the Radon-Nikodym theorem for this type of completely positive nÃn matrices.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mohammad Sal Moslehian, Anatoly Kusraev, Marat Pliev,