{
  "id": "2004.07533",
  "version": "v1",
  "published": "2020-04-16T08:51:55.000Z",
  "updated": "2020-04-16T08:51:55.000Z",
  "title": "Numerical range and positive block matrices",
  "authors": [
    "Jean Christophe Bourin",
    "Eun-Young Lee"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range of the off-diagonal block X, especially the distance from 0 to W(X).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-16T08:51:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive block matrices",
      "numerical range",
      "eigenvalue inequalities",
      "off-diagonal block"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}