The Haar system in the preduals of hyperfinite factors

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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).
18 pages

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Operator Algebras, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/167421

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2851
 http://arxiv.org/abs/0808.2851

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arXiv