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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 3, Pages 58–62 (Mi vmj427)  
This article is cited in 1 scientific paper (total in 1 paper)

Structure of Lie derivations on algebras of measurable operators

I. M. Juraev

National University of Uzbekistan, Uzbekistan, Tashkent
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Abstract: We prove that every Lie derivation on algebras of measurable operators is of standard form, that is, it can be uniquely decomposed into the sum of a derivation and a center-valued trace.
Key words: von Neumann algebras, measurable operator, type I von Neumann algebras, derivation, inner derivation, Lie derivation, center-valued trace.
Received: 23.09.2011
Document Type: Article
UDC: 512.54
Language: Russian
Citation: I. M. Juraev, “Structure of Lie derivations on algebras of measurable operators”, Vladikavkaz. Mat. Zh., 14:3 (2012), 58–62
Citation in format AMSBIB
\Bibitem{Jur12}
\by I.~M.~Juraev
\paper Structure of Lie derivations on algebras of measurable operators
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 3
\pages 58--62
\mathnet{http://mi.mathnet.ru/vmj427}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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