This is an announcement for the paper "On the structure of asymptotic l_p spaces" by E. Odell, Th. Schlumprecht, and A. Zsak.

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.

Archive classification: Functional Analysis

Mathematics Subject Classification: 46B20

Remarks: 32 pages

The source file(s), asymptotic-ell-p.tex: 108321 bytes, is(are) stored in gzipped form as 0603063.gz with size 30kb. The corresponding postcript file has gzipped size 143kb.

Submitted from: a.zsak@dpmms.cam.ac.uk

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