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Biorthogonal systems in Banach spaces | Michael A. Coco
; | Date: |
5 Dec 2003 | Subject: | Functional Analysis MSC-class: 46B20; 46B25 | math.FA | 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. | Source: | arXiv, math.FA/0312128 | Services: | Forum | Review | PDF | Favorites |
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