{
  "id": "1810.10067",
  "version": "v1",
  "published": "2018-10-23T19:51:10.000Z",
  "updated": "2018-10-23T19:51:10.000Z",
  "title": "On the generalized mixed Schwarz inequality",
  "authors": [
    "Mohammad W. Alomari"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this work, an extension of the generalized mixed Schwarz inequality is proved. A companion of the generalized mixed Schwarz inequality (or Kittaneh inequality) in which the Cartesian decomposition of operators is replaced by the polar decomposition is also given. Based on that some numerical radius inequalities are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-23T19:51:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30",
      "47A12",
      "15A60",
      "47A63"
    ],
    "keywords": [
      "generalized mixed schwarz inequality",
      "numerical radius inequalities",
      "polar decomposition",
      "cartesian decomposition",
      "kittaneh inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}