Biorthogonal systems in Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of , or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite dimensional Banach space has one of three types of biorthogonal systems.
Keywords
Cite
@article{arxiv.math/0312128,
title = {Biorthogonal systems in Banach spaces},
author = {Michael A. Coco},
journal= {arXiv preprint arXiv:math/0312128},
year = {2007}
}
Comments
22 pages