{
  "id": "1806.01019",
  "version": "v1",
  "published": "2018-06-04T09:07:30.000Z",
  "updated": "2018-06-04T09:07:30.000Z",
  "title": "Characterizing derivations and anti-derivations on group algebras through orthogonality",
  "authors": [
    "Hoger Ghahramani"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let L^1(G) and M(G) be group algebra and measure algebra of a locally compact group G, respectively and D:L^1(G)-->M(G) be a continuous linear map. We consider D behaving like derivation or anti-derivation at orthogonal elements for several types of orthogonality conditions and we characterize such maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-04T09:07:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "group algebra",
      "characterizing derivations",
      "anti-derivation",
      "continuous linear map",
      "measure algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}