Biorthogonal systems in Banach spaces
Volume 165 / 2004
Studia Mathematica 165 (2004), 81-100
MSC: Primary 46B20, 46B25, 46B15.
DOI: 10.4064/sm165-1-7
Abstract
We give biorthogonal system characterizations of Banach spaces that fail the Dunford–Pettis property, contain an isomorphic copy of $c_0$, 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.
