{
  "id": "2202.13095",
  "version": "v1",
  "published": "2022-02-26T08:41:26.000Z",
  "updated": "2022-02-26T08:41:26.000Z",
  "title": "Stability of involutions on Banach Algebra by fixed point method",
  "authors": [
    "N. Salehi",
    "M. R. Velayati"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Using the fixed point method of the stability of the Jensen's functional equation, we proved the Hyers-Ulam-Rassias stability and super stability of involution on Banach algebra and find some conditions that with them a Banach algebra with approximate involution is $C^*$-algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-26T08:41:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "46L05",
      "46L35"
    ],
    "keywords": [
      "fixed point method",
      "banach algebra",
      "jensens functional equation",
      "approximate involution",
      "super stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}