{
  "id": "1904.12096",
  "version": "v1",
  "published": "2019-04-27T03:07:09.000Z",
  "updated": "2019-04-27T03:07:09.000Z",
  "title": "Bounds of numerical radius of bounded linear operator",
  "authors": [
    "Santanu bag",
    "Pintu Bhunia",
    "Kallol Paul"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We prove that the bounds obtained are better than the existing bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-27T03:07:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "15A60",
      "47A30"
    ],
    "keywords": [
      "bounded linear operator",
      "numerical radius",
      "complex hilbert space",
      "aluthge transform",
      "inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}