This article is cited in 11 papers

A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras

I. N. Maliev^a, M. A. Pliev<sup>b

a</sup> Chair of Theoretical and Mathematical Physics, North Osetian State University, Vladikavkaz, Russia
^b Southern Mathematical Institute of Russian Academy of Sciences, Vladikavkaz, Russia

Abstract: We prove an analog of the Stinespring theorem for Hilbert modules over local $C^\star$-algebras.

Keywords: Hilbert modules, local $C^\star$-algebras, local Hilbert spaces, $(\star)$-homomorphisms, completely positive maps.

UDC: 517.982+519.46

Received: 03.11.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:12, 43–49

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