{
  "id": "1901.05504",
  "version": "v1",
  "published": "2019-01-16T19:27:33.000Z",
  "updated": "2019-01-16T19:27:33.000Z",
  "title": "Characterizations of certain means of positive operators",
  "authors": [
    "Lajos Molnar"
  ],
  "comment": "to appear in Linear Algebra Appl",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we present some characterizations for quasi-arithmetic operator means (among them the arithmetic and harmonic means) on the positive definite cone of the full algebra of Hilbert space operators, and also for the Kubo-Ando geometric mean on the positive definite cone of a general non-commutative $C^*$-algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-16T19:27:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A64",
      "47B49",
      "26E60"
    ],
    "keywords": [
      "positive operators",
      "characterizations",
      "positive definite cone",
      "hilbert space operators",
      "quasi-arithmetic operator means"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}