Random rearrangements and operators
Evgueni M. Semenov, Stephen J. Montgomery-Smith
Abstract
Consider an n by n matrix xij, and consider the quantity || xi,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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