Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms
Functional Analysis
2007-05-23 v2
Abstract
In this note we give a simple proof that every subspace of L_p, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently L_p has a norm determined by partitions and weights.
Cite
@article{arxiv.math/0310343,
title = {Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms},
author = {Dale Alspach and Simei Tong},
journal= {arXiv preprint arXiv:math/0310343},
year = {2007}
}
Comments
4 pages