On the operator space UMD property for noncommutative Lp-spaces

Details On the operator space UMD property for noncommutative Lp-spaces On the operator space UMD property for noncommutative Lp-spaces

2005-01-03

arxiv.org/abs/math/0501033v1

Mathematics

Operator Algebras

30 pages

Scientific paper

We study the operator space UMD property, introduced by Pisier in the context of noncommutative vector-valued Lp-spaces. It is unknown whether the property is independent of p in this setting. We prove that for 1

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