{
  "id": "1807.11614",
  "version": "v1",
  "published": "2018-07-31T00:26:17.000Z",
  "updated": "2018-07-31T00:26:17.000Z",
  "title": "On the fixed point property in Banach spaces isomorphic to $c_0$",
  "authors": [
    "Cleon S. Barroso"
  ],
  "comment": "11 pages, first version",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that every Banach space containing a subspace isomorphic to $\\co$ fails the fixed point property. The proof is based on an amalgamation approach involving a suitable combination of known results and techniques, including James's distortion theorem, Ramsey's combinatorial theorem, Brunel-Sucheston spreading model techniques and Dowling, Lennard and Turett's fixed point methodology employed in their characterization of weak compactness in $\\co$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-31T00:26:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fixed point property",
      "banach spaces isomorphic",
      "brunel-sucheston spreading model techniques",
      "turetts fixed point methodology",
      "ramseys combinatorial theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}