This is an announcement for the paper "The Haar system in the preduals of hyperfinite factors" by Denis Potapov and Fyodor 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).

Archive classification: math.FA

Remarks: 18 pages

The source file(s), haar_III_lambda.tex: 68404 bytes, is(are) stored in gzipped form as 0808.2851.gz with size 20kb. The corresponding postcript file has gzipped size 97kb.

Submitted from: denis.potapov@flinders.edu.au

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