{
  "id": "1606.05208",
  "version": "v1",
  "published": "2016-06-16T14:45:02.000Z",
  "updated": "2016-06-16T14:45:02.000Z",
  "title": "On some determinant and matrix inequalities with a geometrical flavour",
  "authors": [
    "Ting Chen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study some determinant inequalities and matrix inequalities which have a geometrical flavour. We first examine some inequalities which place work of Macbeath [13] in a more general setting and also relate to recent work of Gressman [8]. In particular, we establish optimisers for these determinant inequalities. We then use these inequalities to establish our main theorem which gives a geometric inequality of matrix type which improves and extends some inequalities of Christ in [5].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-16T14:45:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "matrix inequalities",
      "geometrical flavour",
      "determinant inequalities",
      "matrix type",
      "main theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}