{
  "id": "1109.3057",
  "version": "v1",
  "published": "2011-09-14T12:14:26.000Z",
  "updated": "2011-09-14T12:14:26.000Z",
  "title": "Trace inequalities for completely monotone functions and Bernstein functions",
  "authors": [
    "Koenraad M. R. Audenaert"
  ],
  "comment": "16 pages",
  "journal": "Linear Algebra Appl. 437(2), 601-611 (2012)",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove a matrix trace inequality for completely monotone functions and for Bernstein functions. As special cases we obtain non-trivial trace inequalities for the power function x->x^q, which for certain values of q complement McCarthy's trace inequality and for others strenghten it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-14T12:14:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A60"
    ],
    "keywords": [
      "bernstein functions",
      "monotone functions",
      "complement mccarthys trace inequality",
      "matrix trace inequality",
      "non-trivial trace inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3057A"
    }
  }
}