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Biorthogonal systems in Banach spaces

Michael A. Coco
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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.

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Michael A. Coco. 2003-12-05. Biorthogonal systems in Banach spaces. https://arxiv.org/abs/math/0312128

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