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Fully symmetric operator spaces
Authors:Peter G Dodds  Theresa K Dodds  Ben de Pagter
Institution:(1) School of Information Science & Technology, The Flinders University of South Australia, GPO Box 2100, 5001 Adelaide, Australia;(2) Department of Mathematics, Delft University of Technology, Julianalaan 132, NL-2628 BL Delft, The Netherlands
Abstract:It is shown that certain interpolation theorems for non-commutative symmetric operator spaces can be deduced from their commutative versions. A principal tool is a refinement of the notion of Schmidt decomposition of a measurable operator affiliated with a given semi-finite von Neumann algebra.Research supported by A.R.C.
Keywords:Primary 46E30  Secondary 46L50  47B55
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