On the structure of asymptotic l_p spaces

Details On the structure of asymptotic l_p spaces On the structure of asymptotic l_p spaces

2006-03-02

arxiv.org/abs/math/0603063v1

Mathematics

Functional Analysis

32 pages

Scientific paper

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.

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