{
  "id": "1407.7258",
  "version": "v2",
  "published": "2014-07-27T17:20:38.000Z",
  "updated": "2015-03-20T13:05:56.000Z",
  "title": "Frequent hypercyclicity in spaces of operators",
  "authors": [
    "Aneesh Mundayadan",
    "Manjul Gupta"
  ],
  "comment": "18 pages, Example 4.5 corrected, communicated",
  "categories": [
    "math.FA"
  ],
  "abstract": "We obtain conditions for the map C_{A,B}(V)=AVB to be frequently hypercyclic on Banach algebras of operators on Banach spaces. If T is an operator satisfying the Frequent Hypercyclicity Criterion, then the linear map C_T(V)=TVT* is frequently hypercyclic on K(H), the algebra of all compact operators on a Hilbert space H. We also characterize frequently hypercyclic CM? ' ;M on the trace- class of the Hardy space, where M' denotes the multiplication operator associated to '. 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-27T17:20:38.000Z",
      "abstract": "We obtain conditions for the map C_{A;B}(V )=AV B to be frequently hypercyclic on Banach algebras of operators on Banach spaces. If T is an operator satisfying the Frequent Hypercyclicity Criterion, then the linear map C_T(V )=TVT* is frequently hypercyclic on K(H), the algebra of all compact operators on a Hilbert space H. We also characterize frequently hypercyclic CM? ' ;M on the trace- class of the Hardy space, where M' denotes the multiplication operator associated to '. 1.",
      "comment": "19 pages, communicated",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-03-20T13:05:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16"
    ],
    "keywords": [
      "frequent hypercyclicity criterion",
      "banach algebras",
      "banach spaces",
      "hardy space",
      "linear map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7258G"
    }
  }
}