{
  "id": "1912.03635",
  "version": "v1",
  "published": "2019-12-08T08:01:54.000Z",
  "updated": "2019-12-08T08:01:54.000Z",
  "title": "Birkhoff-James orthogonality to a subspace of operators defined between Banach spaces",
  "authors": [
    "Arpita Mal",
    "Kallol Paul"
  ],
  "comment": "8 Pages, Submitted to Journal of Operator Theory on 12th November, 2019",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper deals with study of Birkhoff-James orthogonality of a linear operator to a subspace of operators defined between arbitrary Banach spaces. In case the domain space is reflexive and the subspace is finite dimensional we obtain a complete characterization. For arbitrary Banach spaces, we obtain the same under some additional conditions. For arbitrary Hilbert space $ \\mathbb{H},$ we also study orthogonality to subspace of the space of linear operators $L(\\mathbb{H}), $ both with respect to operator norm as well as numerical radius norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-08T08:01:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L05",
      "46B20"
    ],
    "keywords": [
      "birkhoff-james orthogonality",
      "arbitrary banach spaces",
      "linear operator",
      "arbitrary hilbert space",
      "paper deals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}