{
  "id": "2008.13708",
  "version": "v1",
  "published": "2020-08-31T16:15:41.000Z",
  "updated": "2020-08-31T16:15:41.000Z",
  "title": "Numerical radius inequalities of operator matrices using $(α,β)$-norm",
  "authors": [
    "P. Bhunia",
    "A. Bhanja",
    "D. Sain",
    "K. Paul"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is a continuation of a recent work on a new norm, christened the $ (\\alpha, \\beta)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\\times n$ operator matrices, which generalize the existing ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-31T16:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30",
      "47A12"
    ],
    "keywords": [
      "operator matrices",
      "numerical radius inequalities",
      "usual operator norm",
      "estimate bounds",
      "upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}