A transference method in quantum probability

Details A transference method in quantum probability A transference method in quantum probability

2008-02-12

arxiv.org/abs/0802.1593v2

Mathematics

Operator Algebras

42 pages

Scientific paper

Working with a rather general notion of independence, we provide a transference method which allows to compare the p-norm of sums of independent copies with the p-norm of sums of free copies. Our main technique is to construct explicit operator space Lp embeddings preserving independence to reduce the problem to L1, where some recent results by the first-named author can be used. We find applications for noncommutative Khincthine/Rosenthal type inequalities and for noncommutative Lp embedding theory.

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