Title : ( Matrix KGNS construction and a Radon-Nikodym type theorem )
Authors: Mohammad Sal Moslehian , Anatoly Kusraev , Marat Pliev ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, we introduce the concept of completely positive matrix of linear maps on Hilbert $A$-modules over locally $C^{*}$-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 $n\times n$ matrices.
Keywords
, Locally $C^*$, algebra; Hilbert $A$, module; Stinespring construction; completely $n$, positive map; commutant
@article{paperid:1063337,
author = {Sal Moslehian, Mohammad and Anatoly Kusraev and Marat Pliev},
title = {Matrix KGNS construction and a Radon-Nikodym type theorem},
journal = {Indagationes Mathematicae},
year = {2017},
volume = {28},
number = {1},
month = {October},
issn = {0019-3577},
pages = {938--952},
numpages = {14},
keywords = {Locally $C^*$-algebra; Hilbert $A$-module; Stinespring construction; completely $n$-positive map; commutant},
}
%0 Journal Article
%T Matrix KGNS construction and a Radon-Nikodym type theorem
%A Sal Moslehian, Mohammad
%A Anatoly Kusraev
%A Marat Pliev
%J Indagationes Mathematicae
%@ 0019-3577
%D 2017
