{
  "id": "1808.06146",
  "version": "v1",
  "published": "2018-08-18T23:34:45.000Z",
  "updated": "2018-08-18T23:34:45.000Z",
  "title": "A study of orthogonality of bounded linear operators",
  "authors": [
    "Tamara Bottazzi",
    "Cristian Conde",
    "Debmalya Sain"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of bounded linear operators in light of a new notion introduced by us and also discuss some of the possible applications in this regard. We also study isosceles orthogonality of bounded (positive) linear operators on a Hilbert space and some of the related properties, including that of operators having disjoint support. We further explore the relations between Birkhoff-James orthogonality and isosceles orthogonality in a general Banach space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-18T23:34:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30",
      "47A63",
      "47L05"
    ],
    "keywords": [
      "bounded linear operators",
      "hilbert space",
      "general banach space",
      "study isosceles orthogonality",
      "study birkhoff-james orthogonality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}