On the structure of asymptotic l_p spaces
Functional Analysis
2007-05-23 v1
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.
Cite
@article{arxiv.math/0603063,
title = {On the structure of asymptotic l_p spaces},
author = {E. Odell and Th. Schlumprecht and A. Zsak},
journal= {arXiv preprint arXiv:math/0603063},
year = {2007}
}
Comments
32 pages