{
  "id": "1212.2954",
  "version": "v2",
  "published": "2012-12-12T20:41:12.000Z",
  "updated": "2013-06-01T08:08:56.000Z",
  "title": "On the essential spectrum of the sum of self-adjoint operators and the closedness of the sum of operator ranges",
  "authors": [
    "Ivan S. Feshchenko"
  ],
  "comment": "9 pages",
  "journal": "Banach journal of mathematical analysis, Volume 8, issue 1, 2014",
  "categories": [
    "math.FA"
  ],
  "abstract": "We get a criterion for 0 to be in the essential spectrum of a sum of self-adjoint operators whose pairwise products are compact. Using this result, we obtain necessary and sufficient conditions for the sum of ranges of such operators to be closed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-01T08:08:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B15",
      "46C07"
    ],
    "keywords": [
      "self-adjoint operators",
      "essential spectrum",
      "operator ranges",
      "closedness"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2954F"
    }
  }
}