{
  "id": "2210.16759",
  "version": "v1",
  "published": "2022-10-30T07:13:02.000Z",
  "updated": "2022-10-30T07:13:02.000Z",
  "title": "Fixed points and normal automorphisms of the unit ball of bounded operators on $\\mathbb{C}^n$",
  "authors": [
    "Rachna Aggarwal",
    "Krishnendu Gongopadhyay",
    "Mukund Madhav Mishra"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We examine the group of isometries of the open unit ball of a complex Banach space of certain bounded linear operators equipped with the Carath\\'eodory metric. Therein we obtain a charactrization of the normal isometries in terms of their special type of fixed points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-30T07:13:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32M15",
      "47B02",
      "47B15",
      "47B91"
    ],
    "keywords": [
      "fixed points",
      "normal automorphisms",
      "bounded operators",
      "complex banach space",
      "open unit ball"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}