{
  "id": "1208.4686",
  "version": "v2",
  "published": "2012-08-23T08:12:34.000Z",
  "updated": "2012-08-27T07:33:13.000Z",
  "title": "Essential spectrum of a limit of self--adjoint operators",
  "authors": [
    "Dmitry K. Gridnev"
  ],
  "comment": "The paper has been withdrawn due to a wrong example concerning compact operators. Furthermore, the proof in Weidmann's back appears to be correct. With thanks to F. Gesztesy and Gerhard Teschl",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "For a sequence of self--adjoint operators, which converges in the norm resolvent sense, the formula is derived, which expresses the essential spectrum of the limit through the essential spectrum of the elements of the sequence.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-27T07:33:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "essential spectrum",
      "self-adjoint operators",
      "norm resolvent sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4686G"
    }
  }
}