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math.FA2000
Embeddings of rearrangement invariant spaces that are not strictly singular
S. J. Montgomery-Smith, E. M. Semenov
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L_1([0,1]) is strictly singular if and only if G does not embed…
math.FA1997★ 8 cited
Random rearrangements and operators
Evgueni M. Semenov, Stephen J. Montgomery-Smith
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…