{
  "id": "1711.00262",
  "version": "v1",
  "published": "2017-11-01T09:18:59.000Z",
  "updated": "2017-11-01T09:18:59.000Z",
  "title": "Non-expansive bijections to the unit ball of $\\ell_1$-sum of strictly convex Banach spaces",
  "authors": [
    "Vladimir Kadets",
    "Olesia Zavarzina"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Extending recent results by Cascales, Kadets, Orihuela and Wingler (2016), Kadets and Zavarzina (2017), and Zavarzina (2017) we demonstrate that for every Banach space $X$ and every collection $Z_i, i\\in I$ of strictly convex Banach spaces every non-expansive bijection from the unit ball of $X$ to the unit ball of sum of $Z_i$ by $\\ell_1$ is an isometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-01T09:18:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20"
    ],
    "keywords": [
      "strictly convex banach spaces",
      "unit ball",
      "non-expansive bijection",
      "demonstrate",
      "collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}