L. V. Veselova, F. A. Sukochev, O. E. Tikhonov, “Interpolation of Positive Operators”, Mat. Zametki, 2007, Volume 81, Issue 1,Pages <nobr>43

This article is cited in 2 papers

Interpolation of Positive Operators

L. V. Veselova^a, F. A. Sukochev^b, O. E. Tikhonov^c

^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.

UDC: 517.982.1+517.983.27+517.986.33

Received: 30.01.2006

DOI: 10.4213/mzm3516