{
  "id": "math/0006034",
  "version": "v1",
  "published": "2000-06-05T16:36:34.000Z",
  "updated": "2000-06-05T16:36:34.000Z",
  "title": "Summing inclusion maps between symmetric sequence spaces",
  "authors": [
    "Andreas Defant",
    "Mieczysław Mastyło",
    "Carsten Michels"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove a substantial extension of a well-known result due to Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence space E into l_2 is (E,1)-summing, i.e. for every unconditionally summable sequence (x_n) in E the scalar sequence (||x_n||_2) is contained in E. Various applications are given, e.g. to the theory of eigenvalue distribution of compact operators and approximation theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-05T16:36:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric sequence spaces",
      "summing inclusion maps",
      "symmetric banach sequence space",
      "well-known result",
      "scalar sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6034D"
    }
  }
}