On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 42-49
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We prove an analog of Stinesping's theorem for $n$-tuple of the completely positive maps in Hilbert $C^\star$-modules.
Keywords:
Hilbert $C^\star$-modules, $C^\star$-algebras, $\star$-homomorphisms, completely positive maps, $n$-completely positive maps.
@article{IVM_2014_11_a4,
author = {M. A. Pliev and I. D. Tsopanov},
title = {On representation of {Stinespring's} type for $n$-tuple completely positive maps in {Hilbert} $C^\star$-modules},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {42--49},
publisher = {mathdoc},
number = {11},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a4/}
}
TY - JOUR AU - M. A. Pliev AU - I. D. Tsopanov TI - On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2014 SP - 42 EP - 49 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2014_11_a4/ LA - ru ID - IVM_2014_11_a4 ER -
%0 Journal Article %A M. A. Pliev %A I. D. Tsopanov %T On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2014 %P 42-49 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2014_11_a4/ %G ru %F IVM_2014_11_a4
M. A. Pliev; I. D. Tsopanov. On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 42-49. http://geodesic.mathdoc.fr/item/IVM_2014_11_a4/