{
  "id": "1910.06775",
  "version": "v1",
  "published": "2019-10-15T14:09:34.000Z",
  "updated": "2019-10-15T14:09:34.000Z",
  "title": "Some improvements of numerical radius inequalities of operators and operator matrices",
  "authors": [
    "Pintu Bhunia",
    "Kallol Paul"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We obtain upper bounds for the numerical radius of product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of $n\\times n$ operator matrices by using non-negative continuous functions on $[0,\\infty]$. We also obtain some upper and lower bounds for $B$-numerical radius of operator matrices where $B$ is the operator diagonal matrix with diagonal entries are positive operator $A$, and show that these bounds generalize and improve on the existing bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-15T14:09:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47A05",
      "46C05"
    ],
    "keywords": [
      "numerical radius inequalities",
      "operator matrices",
      "improvements",
      "hilbert space operators",
      "operator diagonal matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}