[Banach] Abstract of a paper by S Dutta and D Khurana

This is an announcement for the paper "Ordinal indices for complemented subspaces of l_p" by S Dutta and D Khurana.

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.

Archive classification: math.FA

Submitted from: divyakhurana11@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1405.4499

or

http://arXiv.org/abs/1405.4499