{
  "id": "1509.02061",
  "version": "v1",
  "published": "2015-09-07T14:42:50.000Z",
  "updated": "2015-09-07T14:42:50.000Z",
  "title": "Diametral diameter two properties",
  "authors": [
    "Julio Becerra Guerrero",
    "Ginés López Pérez",
    "Abraham Rueda Zoca"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this note is to define a generalization of the diameter two properties in terms of the abundance of diametral points. We shall also analyze the stability of these properties under $\\ell_p$ sums and the problem of inheritance to subspaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-07T14:42:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B22"
    ],
    "keywords": [
      "diametral diameter",
      "properties",
      "diametral points",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150902061B"
    }
  }
}