{
  "id": "1304.1313",
  "version": "v1",
  "published": "2013-04-04T10:48:27.000Z",
  "updated": "2013-04-04T10:48:27.000Z",
  "title": "Projections in duals to Asplund spaces made without Simons' lemma",
  "authors": [
    "Marek Cuth",
    "Marian Fabian"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity. A few years later, Ch. Stegall succeeded to drop from the original proof a deep lemma of S. Simons. Here, we rewrite the condensed argument of Ch. Stegall in a more transparent and detailed way. We actually show that this technology of Ch. Stegall leads to a bit stronger/richer object ---the so called projectional skeleton--- recently constructed by W. Kubi\\'s, via S. Simons' lemma and with help of elementary submodels from logic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-04T10:48:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asplund spaces",
      "projections",
      "bit stronger/richer object",
      "projectional resolution",
      "original proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.1313C"
    }
  }
}