{
  "id": "2006.12474",
  "version": "v1",
  "published": "2020-06-22T17:52:38.000Z",
  "updated": "2020-06-22T17:52:38.000Z",
  "title": "On compact Hankel operators over compact Abelian groups",
  "authors": [
    "A. R. Mirotin"
  ],
  "comment": "In Russian (English Abstract)",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider compact and connected Abelian group $G$ with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over $G$, generalizations of the classical Kronecker, Hartman, Peller and Adamyan-Arov-Krein theorems are obtained. A generalization of Burling's invariant subspace theorem is also established. Applications are given to Hankel operators over discrete groups",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-22T17:52:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A17",
      "47B35"
    ],
    "keywords": [
      "compact hankel operators",
      "compact abelian groups",
      "burlings invariant subspace theorem",
      "connected abelian group",
      "discrete groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}