On the structure of asymptotic lp spaces
E. Odell, Th. Schlumprecht, A. Zsak
Abstract
We prove that if X is a separable, reflexive space which is asymptotic lp, then X embeds into a reflexive space Z having an asymptotic lp finite-dimensional decomposition. This result leads to an intrinsic characterization of subspaces of spaces with an asymptotic lp FDD. More general results of this type are also obtained.
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