The Haar System in the Preduals of Hyperfinite Factors

Canadian mathematical bulletin

F. Sukochev¹  D. Potapov² 

[1] School of Mathematics and Statistics, University of New South Wales, Kensington NSW 2052, AUSTRALIA;School of Computer Science, Engineering and Mathematics, Flinders University, Bedford Park SA 5042, AUSTRALIA

关键词: Szegö's theorem;    uniform algebras;    disc algebra;    weighted Bergman space;   

DOI  :  10.4153/CMB-2011-007-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We shall present examples of Schauder bases in the preduals to thehyperfinite 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 basesin any associated separable symmetric space of measurable operators(respectively, in any non-commutative $L^p$-space).

【 授权许可】

Unknown