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The Haar System in the Preduals of Hyperfinite Factors
Published online by Cambridge University Press: 20 November 2018
Abstract
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).
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- Copyright © Canadian Mathematical Society 2011
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