{
  "id": "1410.7242",
  "version": "v1",
  "published": "2014-10-27T13:57:42.000Z",
  "updated": "2014-10-27T13:57:42.000Z",
  "title": "Operators approximable by hypercyclic operators",
  "authors": [
    "James Boland"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-27T13:57:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypercyclic operators",
      "operators approximable",
      "separable infinite dimensional banach space",
      "norm closure",
      "dense generalised kernel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7242B"
    }
  }
}