{
  "id": "1908.04499",
  "version": "v1",
  "published": "2019-08-13T05:51:32.000Z",
  "updated": "2019-08-13T05:51:32.000Z",
  "title": "Numerical radius inequalities for linear operators and operator matrices",
  "authors": [
    "Pintu Bhunia",
    "Kallol Paul",
    "Rajkumar Nayak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We present new upper and lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve on the existing bounds. We also obtain some upper and lower bounds for the numerical radius of operator matrices and illustrate with numerical examples that these bounds are better than the existing bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-13T05:51:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47A63",
      "47A30"
    ],
    "keywords": [
      "numerical radius inequalities",
      "operator matrices",
      "lower bounds",
      "complex hilbert space",
      "existing bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}