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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 42–49
(Mi ivm8948)
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This article is cited in 5 scientific papers (total in 5 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.
Received: 17.04.2013
Citation:
M. A. Pliev, I. D. Tsopanov, “On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 42–49; Russian Math. (Iz. VUZ), 58:11 (2014), 36–42
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https://www.mathnet.ru/eng/ivm8948 https://www.mathnet.ru/eng/ivm/y2014/i11/p42
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Abstract page: | 157 | Full-text PDF : | 40 | References: | 44 | First page: | 11 |
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