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On the structure of asymptotic l_p spaces

Research paper by E. Odell, Th. Schlumprecht, A. Zsak

Indexed on: 02 Mar '06Published on: 02 Mar '06Published in: Mathematics - Functional Analysis



Abstract

We prove that if X is a separable, reflexive space which is asymptotic l_p, then X embeds into a reflexive space Z having an asymptotic l_p finite-dimensional decomposition. This result leads to an intrinsic characterization of subspaces of spaces with an asymptotic l_p FDD. More general results of this type are also obtained.