{
  "id": "math/0301182",
  "version": "v1",
  "published": "2003-01-17T10:07:04.000Z",
  "updated": "2003-01-17T10:07:04.000Z",
  "title": "A Banach space with the Schur and the Daugavet property",
  "authors": [
    "Vladimir Kadets",
    "Dirk Werner"
  ],
  "comment": "10 pages",
  "journal": "Proc. Amer. Math. Soc. 132, no.6, 1765-1773 (2004)",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that a minor refinement of the Bourgain-Rosenthal construction of a Banach space without the Radon-Nikodym property which contains no bounded $\\delta$-trees yields a space with the Daugavet property and the Schur property. Using this example we answer some open questions on the structure of such spaces; in particular we show that the Daugavet property is not inherited by ultraproducts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-17T10:07:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04",
      "46B20",
      "46M07"
    ],
    "keywords": [
      "daugavet property",
      "banach space",
      "bourgain-rosenthal construction",
      "open questions",
      "radon-nikodym property"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1182K"
    }
  }
}