Michael A. Coco
Published 2003-12-05Version 1
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.
Not every infinite dimensional Banach space coarsely contains Hilbert space
How many operators do there exist on a Banach space?
Subdifferentiability and polyhedrality of the norm
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