Geodesic
The Haar System in the Preduals of Hyperfinite Factors
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 347-363

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DOI

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).
DOI : 10.4153/CMB-2011-007-7
Mots-clés : 46L52 
Potapov, D.; Sukochev, F. The Haar System in the Preduals of Hyperfinite Factors. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 347-363. doi: 10.4153/CMB-2011-007-7
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     author = {Potapov, D. and Sukochev, F.},
     title = {The {Haar} {System} in the {Preduals} of {Hyperfinite} {Factors}},
     journal = {Canadian mathematical bulletin},
     pages = {347--363},
     year = {2011},
     volume = {54},
     number = {2},
     doi = {10.4153/CMB-2011-007-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-007-7/}
}
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