{
  "id": "2403.18590",
  "version": "v1",
  "published": "2024-03-27T14:16:40.000Z",
  "updated": "2024-03-27T14:16:40.000Z",
  "title": "$θ$-derivations on convolution algebras",
  "authors": [
    "M. Eisaei",
    "Gh. R. Moghimi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we investigate $\\theta$-derivations on Banach algebra $ L_0^{\\infty} (w)^*$. First, we study the range of them and prove the Singer-Wermer conjucture. We also give a characterization of the space of all $\\theta$-derivations on $ L_0^{\\infty} (w)^*$. Then, we prove automatic continuity and Posner's theorems for $\\theta$-derivations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-27T14:16:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B47",
      "46H40",
      "16W25"
    ],
    "keywords": [
      "convolution algebras",
      "derivations",
      "banach algebra",
      "singer-wermer conjucture",
      "automatic continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}