Geodesic
On a property of $L_p$ spaces on semifinite von Neumann algebras
Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 185-190.

Voir la notice de l'article provenant de la source Math-Net.Ru

A characterization of the traces in a broad class of weights on von Neumann algebras is obtained. A new property of the “domain ideals” of these traces is proved. In the semifinite case, a relation for a faithful normal trace is established. This result is new even for the algebra of all bounded operators on a Hilbert space. Applications of the main result to the structure theory of von Neumann algebras and to the Köthe duality theory for ideal spaces of Segal measurable operators are given. 
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A. M. Bikchentaev. On a property of $L_p$ spaces on semifinite von Neumann algebras. Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 185-190. http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a2/

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