{
  "id": "1807.11166",
  "version": "v1",
  "published": "2018-07-30T04:26:51.000Z",
  "updated": "2018-07-30T04:26:51.000Z",
  "title": "Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spaces",
  "authors": [
    "Kallol Paul",
    "Arpita Mal",
    "Pawel Wójcik"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study left symmetric bounded linear operators in the sense of Birkhoff-James orthogonality defined between infinite dimensional Banach spaces. We prove that a bounded linear operator defined between two strictly convex Banach spaces is left symmetric if and only if it is zero operator when the domain space is reflexive and Kadets-Klee. We exhibit a non-zero left symmetric operator when the spaces are not strictly convex. We also study right symmetric bounded linear operators between infinite dimensional Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-30T04:26:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L05",
      "46B20"
    ],
    "keywords": [
      "infinite dimensional banach spaces",
      "birkhoff-james orthogonality",
      "right symmetric bounded linear",
      "left symmetric bounded linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}