This article is cited in 6 papers

On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules

M. A. Pliev, I. D. Tsopanov

Southern Mathematical Institute of the Russian Academy of Sciences, 22 Markus str., Vladikavkaz, 362027 Russia

Abstract: 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.

UDC: 517.98

Received: 17.04.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:11, 36–42

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