{
  "id": "1901.09435",
  "version": "v1",
  "published": "2019-01-27T20:21:59.000Z",
  "updated": "2019-01-27T20:21:59.000Z",
  "title": "When Nilpotence Implies Normality of Bounded Linear Operators",
  "authors": [
    "Nassima Frid",
    "Mohammed Hichem Mortad"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "In this paper, we give conditions forcing nilpotent matrices (and bounded linear operators in general) to be null or equivalently to be normal. Therefore, a non-zero operator having e.g. a positive real part is never nilpotent. The case of quasinilpotence is also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-27T20:21:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded linear operators",
      "nilpotence implies normality",
      "conditions forcing nilpotent matrices",
      "positive real part",
      "non-zero operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}