{
  "id": "math/0106154",
  "version": "v1",
  "published": "2001-06-19T16:38:59.000Z",
  "updated": "2001-06-19T16:38:59.000Z",
  "title": "Yet another inverse function theorem",
  "authors": [
    "Jaume Gudayol"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "We prove a Nash-Moser type inverse function theorem in Frechet spaces for functions with approximate inverses, allowing for a loss of derivatives proportional to $n$ in the way of Lojasiewicz and Zehnder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-19T16:38:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58C15"
    ],
    "keywords": [
      "nash-moser type inverse function theorem",
      "frechet spaces",
      "approximate inverses",
      "derivatives proportional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6154G"
    }
  }
}