{
  "id": "1301.0241",
  "version": "v3",
  "published": "2013-01-02T14:43:11.000Z",
  "updated": "2013-01-11T14:05:58.000Z",
  "title": "A Criterion for the Normality of Unbounded Operators and Applications to Self-adjointness",
  "authors": [
    "Mohammed Hichem Mortad"
  ],
  "comment": "07 pages",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "In this paper we give and prove a criterion for the normality of unbounded closed operators, which is a sort of a maximality result which will be called \"double maximality\". As applications, we show, under some assumptions, that the sum of two symmetric operators is essentially self-adjoint; and that the sum of two unbounded normal operators is essentially normal. Some other important results are also established.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-01-11T14:05:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A05",
      "47B25"
    ],
    "keywords": [
      "unbounded operators",
      "applications",
      "self-adjointness",
      "unbounded normal operators",
      "symmetric operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.0241H"
    }
  }
}