The Haar System in the Preduals of Hyperfinite Factors

Potapov, D. ; Sukochev, F.

Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 347-363

Résumé

We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types $\text{I}{{\text{I}}_{1}},\,\text{I}{{\text{I}}_{\infty }},\,\text{II}{{\text{I}}_{\lambda }},\,0\,<\,\lambda \,\le \,1$ . 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).

Détail

DOI : 10.4153/CMB-2011-007-7

Mots-clés : 46L52

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