{
  "id": "1612.03808",
  "version": "v1",
  "published": "2016-12-12T17:45:09.000Z",
  "updated": "2016-12-12T17:45:09.000Z",
  "title": "A characterisation of octahedrality in Lipschitz-free spaces",
  "authors": [
    "Antonín Procházka",
    "Abraham Rueda Zoca"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric property of the underlying metric space. We study the metric spaces with and without this property. Quite surprisingly, metric spaces without this property cannot embed isometrically into $\\ell_1$ and similar Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-12T17:45:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric space",
      "octahedrality",
      "characterisation",
      "similar banach spaces",
      "lipschitz-free space norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}