Geodesic
Structure of Lie derivations on algebras of measurable operators
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 3, pp. 58-62 
I. M. Juraev. Structure of Lie derivations on algebras of measurable operators. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 3, pp. 58-62. http://geodesic.mathdoc.fr/item/VMJ_2012_14_3_a5/
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     author = {I. M. Juraev},
     title = {Structure of {Lie} derivations on algebras of measurable operators},
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     url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_3_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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