Abstract view
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The Haar System in the Preduals of Hyperfinite Factors
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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
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).
