Random rearrangements and operators

Details Random rearrangements and operators Random rearrangements and operators

1997-04-07

arxiv.org/abs/math/9704213v2

25 Years of Voronezh Winter Mathematical School, Proceedings in honor of S. Krein, A.M.S

Mathematics

Functional Analysis

Also available at http://www.math.missouri.edu/~stephen/preprints/

Scientific paper

Consider an n by n matrix x_ij, and consider the quantity || x_{i,pi(i)} ||_X
where X is a symmetric sequence space as a random variable where the
permutation pi is chosen randomly. This was considered by Kwapien and Schutt,
and we extend their results to rearrangement invariant spaces. We also consider
the property of D and D^* convexity for rearrangement invariant spaces.

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