{
  "id": "2204.07618",
  "version": "v1",
  "published": "2022-04-15T19:23:10.000Z",
  "updated": "2022-04-15T19:23:10.000Z",
  "title": "Operator inequalities via accretive and dissipative transforms",
  "authors": [
    "Mohammad Sababheh",
    "Ibrahim Halil Gümüş",
    "Hamid Reza Moradi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we employ certain properties of the transform $\\mathscr{C}_{M,m}(A)=(M\\mathbf1_{\\mathcal{H}}-A^*)(A-m\\mathbf1_{\\mathcal{H}})$ to obtain new inequalities for the bounded linear operator $A$ on a complex Hilbert space $\\mathcal{H}$. In particular, we obtain new relations among $|A|,|A^*|,|\\mathfrak{R}A|$ and $|\\mathfrak{I}A|$. Further numerical radius inequalities that extend some known inequalities will be presented too.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-15T19:23:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator inequalities",
      "dissipative transforms",
      "complex hilbert space",
      "numerical radius inequalities",
      "bounded linear operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}