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The Haar System in the Preduals of Hyperfinite Factors

  Published:2011-01-26
 Printed: Jun 2011
  • D. Potapov,
    School of Computer Science, Engineering and Mathematics, Flinders University, Bedford Park SA 5042, AUSTRALIA
  • F. Sukochev,
    School of Mathematics and Statistics, University of New South Wales, Kensington NSW 2052, AUSTRALIA
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Abstract

We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types~$\hbox{II}_1$, $\hbox{II}_\infty$, $\hbox{III}_\lambda$, $0 < \lambda \leq 1$. In the semifinite (respectively, purely infinite) setting, these systems form Schauder bases in any associated separable symmetric space of measurable operators (respectively, in any non-commutative $L^p$-space).
MSC Classifications: 46L52 show english descriptions Noncommutative function spaces 46L52 - Noncommutative function spaces
 

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