{
  "id": "math/0312128",
  "version": "v1",
  "published": "2003-12-05T19:22:24.000Z",
  "updated": "2003-12-05T19:22:24.000Z",
  "title": "Biorthogonal systems in Banach spaces",
  "authors": [
    "Michael A. Coco"
  ],
  "comment": "22 pages",
  "categories": [
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-05T19:22:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B25"
    ],
    "keywords": [
      "infinite dimensional banach space",
      "biorthogonal system characterizations",
      "hereditary dunford-pettis property",
      "isomorphic copy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12128C"
    }
  }
}