{
  "id": "1406.5686",
  "version": "v2",
  "published": "2014-06-22T08:59:34.000Z",
  "updated": "2014-07-02T05:41:58.000Z",
  "title": "Multivariate extensions of the Golden-Thompson inequality",
  "authors": [
    "Frank Hansen"
  ],
  "comment": "Application in random matrix theory added",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study concave trace functions of several operator variables and formulate and prove multivariate generalisations of the Golden-Thompson inequality. The obtained results imply that certain functionals in quantum statistical mechanics have bounds of the same form as they appear in classical physics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-02T05:41:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63"
    ],
    "keywords": [
      "golden-thompson inequality",
      "multivariate extensions",
      "study concave trace functions",
      "operator variables",
      "multivariate generalisations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5686H"
    }
  }
}