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arXiv · 0808.2851

The Haar system in the preduals of hyperfinite factors

Denis Potapov·Fyodor Sukochev
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Abstract

We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types $\hbox{II}_1$, $\hbox{II}_\infty$, $\hbox{III}_λ$, $0 < λ\leq 1$. 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).

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Denis Potapov, Fyodor Sukochev. 2008-08-21. The Haar system in the preduals of hyperfinite factors. https://arxiv.org/abs/0808.2851

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