{
  "id": "1409.0321",
  "version": "v1",
  "published": "2014-09-01T08:25:52.000Z",
  "updated": "2014-09-01T08:25:52.000Z",
  "title": "Some generalized numerical radius inequalities for Hilbert space operators",
  "authors": [
    "Mostafa Sattari",
    "Mohammad Sal Moslehian",
    "Takeaki Yamazaki"
  ],
  "comment": "12 pages, to appear in Linear Algebra Appl. (LAA)",
  "categories": [
    "math.FA",
    "math.OA",
    "math.SP"
  ],
  "abstract": "We generalize several inequalities involving powers of the numerical radius for product of two operators acting on a Hilbert space. For any $A, B, X\\in \\mathbb{B}(\\mathscr{H})$ such that $A,B$ are positive, we establish some numerical radius inequalities for $A^\\alpha XB^\\alpha$ and $A^\\alpha X B^{1-\\alpha}\\,\\,(0 \\leq \\alpha \\leq 1)$ and Heinz means under mild conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-01T08:25:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47A30",
      "47A63",
      "47B47"
    ],
    "keywords": [
      "generalized numerical radius inequalities",
      "hilbert space operators",
      "heinz means",
      "mild conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0321S"
    }
  }
}