Biorthogonal systems in Banach spaces
Michael A. Coco
Studia Mathematica, Tome 162 (2004), p. 81-100 / Harvested from The Polish Digital Mathematics Library
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We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, 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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:285282 
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Michael A. Coco. Biorthogonal systems in Banach spaces. Studia Mathematica, Tome 162 (2004) pp. 81-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-1-7/