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This article is cited in 2 scientific papers (total in 2 papers)
Interpolation of Positive Operators
L. V. Veselovaa, F. A. Sukochevb, O. E. Tikhonovc a Kazan Institute for Chemical Technology
b Flinders University
c N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Abstract:
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.
Keywords:
interpolation problem, positive linear operators, ordered Banach spaces, Banach couple, von Neumann algebra.
Received: 30.01.2006
Citation:
L. V. Veselova, F. A. Sukochev, O. E. Tikhonov, “Interpolation of Positive Operators”, Mat. Zametki, 81:1 (2007), 43–58; Math. Notes, 81:1 (2007), 37–50
Linking options:
https://www.mathnet.ru/eng/mzm3516https://doi.org/10.4213/mzm3516 https://www.mathnet.ru/eng/mzm/v81/i1/p43
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