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Matematicheskie Trudy, 2014, Volume 17, Number 1, Pages 3–18 (Mi mt265)  
This article is cited in 8 scientific papers (total in 8 papers)

Derivations with values in quasi-normed bimodules of locally measurable operators

A. F. Ber, G. B. Levitina, V. I. Chilin

National University of Uzbekistan named after M. Ulugbek, Faculty of Mathematics and Mechanics, Tashkent, Uzbekistan
Full-text PDF (250 kB) Citations (8)
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Abstract: We prove that every derivation acting on a von Neumann algebra $\mathcal M$ with values in a quasi-normed bimodule of locally measurable operators affiliated with $\mathcal M$ is necessarily inner.
Key words: derivation, von Neumann algebra, quasi-normed bimodule, locally measurable operators.
Received: 24.12.2013
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 3, Pages 169–178
DOI: https://doi.org/10.3103/S1055134415030025
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. F. Ber, G. B. Levitina, V. I. Chilin, “Derivations with values in quasi-normed bimodules of locally measurable operators”, Mat. Tr., 17:1 (2014), 3–18; Siberian Adv. Math., 25:3 (2015), 169–178
Citation in format AMSBIB
\Bibitem{BerLevChi14}
\by A.~F.~Ber, G.~B.~Levitina, V.~I.~Chilin
\paper Derivations with values in quasi-normed bimodules of locally measurable operators
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 1
\pages 3--18
\mathnet{http://mi.mathnet.ru/mt265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3236359}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 3
\pages 169--178
\crossref{https://doi.org/10.3103/S1055134415030025}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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