IEEE Access.
Institute of Electrical and Electronics Engineers Inc..
Vol. 5.
2017.
P. 22252-22261
Matrix KSGNS construction and a Radon–Nikodym type theorem
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×n matrices. © 2017 Royal Dutch Mathematical Society (KWG)
Authors
Moslehian M.S.1
,
Kusraev A.2
,
Pliev M.
2,
3
Journal
Publisher
Elsevier B.V.
Number of issue
5
Language
English
Pages
938-952
Status
Published
Link
Volume
28
Year
2017
Organizations
- 1 Department of Pure Mathematics, Center Of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, 91775, Iran
- 2 Southern Mathematical Institute of the Russian Academy of Sciences, str. Markusa 22, Vladikavkaz, 362027, Russian Federation
- 3 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
Keywords
Commutant; Completely n-positive map; Hilbert A-module; Locally C∗-algebra; Stinespring construction
Date of creation
19.10.2018
Date of change
19.10.2018
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