{
  "id": "1805.06218",
  "version": "v1",
  "published": "2018-05-16T10:00:46.000Z",
  "updated": "2018-05-16T10:00:46.000Z",
  "title": "On the Pólya-Szegö operator inequality",
  "authors": [
    "Trung Hoa Dinh",
    "Hamid Reza Moradi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we shall show generalized P\\'olya-Szeg\\\"o type inequalities of positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the harmonic means. Several related inequalities are considered, extending and improving some known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-16T10:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator inequality",
      "arbitrary operator means",
      "type inequalities",
      "hilbert space",
      "harmonic means"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}