{
  "id": "1209.0974",
  "version": "v1",
  "published": "2012-09-05T13:45:30.000Z",
  "updated": "2012-09-05T13:45:30.000Z",
  "title": "Hypercyclic and mixing operator semigroups",
  "authors": [
    "Stanislav Shkarin"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:0810.1192",
  "journal": "Proc. Edinb. Math. Soc. 54 (2011), 761-782",
  "categories": [
    "math.FA"
  ],
  "abstract": "We describe a class of topological vector spaces admitting a mixing uniformly continuous operator group ${T_t}_{t\\in\\C^n}$ with holomorphic dependence on the parameter $t$. This result covers those existing in the literature. We also describe a class of topological vector spaces admitting no supercyclic strongly continuous operator semigroups ${T_t}_{t\\geq 0}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-05T13:45:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "37A25"
    ],
    "keywords": [
      "mixing operator semigroups",
      "uniformly continuous operator group",
      "topological vector spaces admitting",
      "hypercyclic",
      "supercyclic strongly continuous operator semigroups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.0974S"
    }
  }
}