{
  "id": "1910.13514",
  "version": "v1",
  "published": "2019-10-20T09:25:26.000Z",
  "updated": "2019-10-20T09:25:26.000Z",
  "title": "Translation preserving operators on locally compact abelian groups",
  "authors": [
    "M. Mortazavizadeh",
    "R. Raisi Tousi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study translation preserving operators, that is operators commuting with translations by a closed subgroup of a locally compact abelian group. We show that there is a one to one correspondence between these operators and range operators. Furthermore, we obtain a necessary condition for a translation preserving operator to be Hilbert Schmidt or of finite trace in terms of its range operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-20T09:25:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally compact abelian group",
      "range operator",
      "study translation preserving operators",
      "necessary condition",
      "hilbert schmidt"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}