Ordinal indices for complemented subspaces of l_p
Functional Analysis
2014-10-14 v3
Abstract
We provide complete isomorphic invariance of a class of translation invariant complemented subspaces of L_p constructed by Bourgain, Rosenthal and Schechtman. We compute ordinal L_p-indices for this class. We further show that the isometric index of a tree subspace over a well founded tree is an invariance for the order of the tree. Finally we provide a dichotomy for the subspaces of L_p with small ordinal indices.
Cite
@article{arxiv.1405.4499,
title = {Ordinal indices for complemented subspaces of l_p},
author = {S. Dutta and D. Khurana},
journal= {arXiv preprint arXiv:1405.4499},
year = {2014}
}
Comments
This paper has been withdrawn. We have wrongly quoted a result to prove Theorem 1.3