{
  "id": "math/0005278",
  "version": "v2",
  "published": "2000-05-30T12:36:49.000Z",
  "updated": "2001-03-22T13:24:44.000Z",
  "title": "Narrow operators and rich subspaces of Banach spaces with the Daugavet property",
  "authors": [
    "Vladimir Kadets",
    "Roman Shvidkoy",
    "Dirk Werner"
  ],
  "comment": "LaTeX2e, 29 pages; Studia Math. (to appear)",
  "journal": "Studia Math. 147 (2001), 269-298.",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X$ be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on $X$ which depend only on the norms of images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of $X$ previously studied in the context of the classical spaces $C(K)$ and $L_1(\\mu)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-03-22T13:24:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B04",
      "47B38"
    ],
    "keywords": [
      "narrow operators",
      "rich subspaces",
      "banach space",
      "daugavet property",
      "general theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5278K"
    }
  }
}