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The Haar System in the Preduals of Hyperfinite Factors |
Canad. Math. Bull. 54(2011), 347-363
Published:2011-01-26
Printed: Jun 2011
Printed: Jun 2011
- D. Potapov,
- F. Sukochev,
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 - Noncommutative function spaces |