{
  "id": "1908.11182",
  "version": "v1",
  "published": "2019-08-29T12:39:52.000Z",
  "updated": "2019-08-29T12:39:52.000Z",
  "title": "On inequalities for A-numerical radius of operators",
  "authors": [
    "Pintu Bhunia",
    "Kallol Paul",
    "Raj Kumar Nayak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $A$ be a positive operator on a complex Hilbert space $\\mathbb{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani, A-Numerical radius inequalities for semi-Hilbertian space operators, Linear Algebra Appl. 578 (2019) 159-183]. We also obtain some inequalities for $B$-numerical radius of $2\\times 2$ operator matrices where $B$ is the $2\\times 2$ diagonal matrix whose diagonal entries are $A$. Further we obtain upper bounds for $A$-numerical radius of product of operators which improve on the existing bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-29T12:39:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47A30",
      "47A63"
    ],
    "keywords": [
      "complex hilbert space",
      "linear algebra appl",
      "semi-hilbertian space operators",
      "inequalities concerning upper",
      "diagonal matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}