{
  "id": "2007.08650",
  "version": "v1",
  "published": "2020-07-16T21:23:04.000Z",
  "updated": "2020-07-16T21:23:04.000Z",
  "title": "On the weighted Geometric mean of accretive matrices",
  "authors": [
    "Yassine Bedrani",
    "Fuad Kittaneh",
    "Mohammed Sababheh"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for $A^r$ and $A\\sharp_rB$, when $A,B$ are accretive and $r\\in (-1,0)\\cup (1,2).$ This complements the well established discussion of such quantities for accretive matrices when $r\\in [0,1],$ and provides accretive versions of known results for positive matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-16T21:23:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "accretive matrices",
      "weighted geometric mean",
      "non standard domains",
      "complements",
      "inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}