{
  "id": "2004.13322",
  "version": "v1",
  "published": "2020-04-28T06:29:47.000Z",
  "updated": "2020-04-28T06:29:47.000Z",
  "title": "On an extension of operator transforms",
  "authors": [
    "Ali Zamani"
  ],
  "comment": "It is submitted on 26 Feb 2020 to a research journal",
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce the $\\lambda$-mean transform $M_{\\lambda}(T)$ of a Hilbert space operator $T$ as an extension of some operator transforms based on the Duggal transform $T^D$ by $M_{\\lambda}(T) := \\lambda T + (1-\\lambda)T^D$, and present some of its essentially properties. Among other things, we obtain estimates for the operator norm and numerical radius of the $\\lambda$-mean transform $M_{\\lambda}(T)$ in terms of the original operator $T$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-28T06:29:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A05",
      "47B49",
      "47A12",
      "47A30"
    ],
    "keywords": [
      "operator transforms",
      "mean transform",
      "hilbert space operator",
      "operator norm",
      "original operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}