{
  "id": "1705.07042",
  "version": "v1",
  "published": "2017-05-19T15:11:56.000Z",
  "updated": "2017-05-19T15:11:56.000Z",
  "title": "Relative Entropy and Tsallis Entropy of two Accretive Operators",
  "authors": [
    "M. Raïssouli",
    "M. S. Moslehian",
    "S. Furuichi"
  ],
  "comment": "7 pages, to appear in C. R. Math. Acad. Sci. Paris",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Let $A$ and $B$ be two accretive operators. We first introduce the weighted geometric mean of $A$ and $B$ together with some related properties. Afterwards, we define the relative entropy as well as the Tsallis entropy of $A$ and $B$. The present definitions and their related results extend those already introduced in the literature for positive invertible operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-19T15:11:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "47A64",
      "46N10",
      "46L05"
    ],
    "keywords": [
      "tsallis entropy",
      "accretive operators",
      "relative entropy",
      "weighted geometric mean",
      "related results extend"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}