The Distribution of Non-Commutative Rademacher Series

Details The Distribution of Non-Commutative Rademacher Series The Distribution of Non-Commutative Rademacher Series

1992-09-08

arxiv.org/abs/math/9209212v2

Math. Ann. 302, (1995), 395-416

Mathematics

Functional Analysis

Scientific paper

We give a formula for the tail of the distribution of the non-commutative
Rademacher series, which generalizes the result that is already available in
the commutative case. As a result, we are able to calculate the norm of these
series in many rearrangement invariant spaces, generalizing work of Pisier and
Rodin and Semyonov.

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