{
  "id": "2502.04096",
  "version": "v1",
  "published": "2025-02-06T14:16:01.000Z",
  "updated": "2025-02-06T14:16:01.000Z",
  "title": "Further bounds on $q$-numerical radius of Hilbert space operators",
  "authors": [
    "Satyajit Sahoo",
    "Nirmal Chandra Rout"
  ],
  "comment": "23 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we developed a series of new inequalities involving the $q$-numerical radius for operators and $2\\times 2$ operator matrices. These inequalities serve to establish both lower and upper bounds for the $q$-numerical radius of operators. Additionally, we established $q$-numerical radius inequalities for operators via Buzano inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-06T14:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47A30",
      "15A60",
      "47A63"
    ],
    "keywords": [
      "hilbert space operators",
      "operator matrices",
      "inequalities serve",
      "upper bounds",
      "numerical radius inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}