{
  "id": "1811.00440",
  "version": "v1",
  "published": "2018-11-01T15:37:37.000Z",
  "updated": "2018-11-01T15:37:37.000Z",
  "title": "Norm-parallelism and the Davis--Wielandt radius of Hilbert space operators",
  "authors": [
    "A. Zamani",
    "M. S. Moslehian",
    "M. T. Chien",
    "H. Nakazato"
  ],
  "comment": "11 pages, to appear in Linear Multilinear Algebra",
  "doi": "10.1080/03081087.2018.1484422",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff--James orthogonality for Hilbert space operators. Moreover, we discuss the connection between norm-parallelism to the identity operator and an equality condition for the Davis--Wielandt radius. Some other related results are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-01T15:37:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "47L05",
      "47A12"
    ],
    "keywords": [
      "hilbert space operators",
      "davis-wielandt radius",
      "norm-parallelism",
      "bounded linear operators",
      "sufficient condition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Taylor-Francis"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}