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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 51–58 (Mi ivm8758)  
This article is cited in 9 scientific papers (total in 9 papers)

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

I. N. Malieva, M. A. Plievb

a Chair of Theoretical and Mathematical Physics, North Osetian State University, Vladikavkaz, Russia
b Southern Mathematical Institute of Russian Academy of Sciences, Vladikavkaz, Russia
Full-text PDF (194 kB) Citations (9)
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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.
Received: 03.11.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 43–49
DOI: https://doi.org/10.3103/S1066369X12120055
Bibliographic databases:
Document Type: Article
UDC: 517.982+519.46
Language: Russian
Citation: I. N. Maliev, M. A. Pliev, “A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 51–58; Russian Math. (Iz. VUZ), 56:12 (2012), 43–49
Citation in format AMSBIB
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\by I.~N.~Maliev, M.~A.~Pliev
\paper A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 12
\pages 51--58
\mathnet{http://mi.mathnet.ru/ivm8758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137109}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 12
\pages 43--49
\crossref{https://doi.org/10.3103/S1066369X12120055}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872222858}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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