{
  "id": "1505.07604",
  "version": "v1",
  "published": "2015-05-28T09:07:46.000Z",
  "updated": "2015-05-28T09:07:46.000Z",
  "title": "Separable reduction of Frechet subdifferentiability in Asplund spaces",
  "authors": [
    "Marek Cuth",
    "Marian Fabian"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In the framework of Asplund spaces, we use two equivalent instruments - rich families and suitable models from logic - for performing separable reductions of various statements on Frechet subdifferentiability of functions. This way, isometrical results are actually obtained and several existed proofs are substantially simplified. Everything is based on a new structural characterization of Asplund spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-28T09:07:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B26",
      "58C20",
      "46B20",
      "03C30"
    ],
    "keywords": [
      "asplund spaces",
      "frechet subdifferentiability",
      "structural characterization",
      "rich families",
      "equivalent instruments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150507604C"
    }
  }
}