Geodesic
Interpolation of Positive Operators
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 43-58

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We study problems of interpolation of positive linear operators in couples of ordered Banach spaces. From this viewpoint, we study couples of noncommutative spaces $L_1$, $L_\infty$ associated with weights and traces on von Neumann algebras.
Mots-clés : interpolation problem
Keywords: positive linear operators, ordered Banach spaces, Banach couple, von Neumann algebra. 
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L. V. Veselova; F. A. Sukochev; O. E. Tikhonov. Interpolation of Positive Operators. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 43-58. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a3/