{
  "id": "0803.3402",
  "version": "v1",
  "published": "2008-03-24T13:16:31.000Z",
  "updated": "2008-03-24T13:16:31.000Z",
  "title": "Dynamics of tuples of matrices",
  "authors": [
    "George Costakis",
    "Demetris Hadjiloucas",
    "Antonios Manoussos"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we answer a question raised by N. Feldman in \\cite{Feldman} concerning the dynamics of tuples of operators on $\\mathbb{R}^n$. In particular, we prove that for every positive integer $n\\geq 2$ there exist $n$ tuples $(A_1, A_2, ..., A_n)$ of $n\\times n$ matrices over $\\mathbb{R}$ such that $(A_1, A_2, ..., A_n)$ is hypercyclic. We also establish related results for tuples of $2\\times 2$ matrices over $\\mathbb{R}$ or $\\mathbb{C}$ being in Jordan form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-24T13:16:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16"
    ],
    "keywords": [
      "jordan form",
      "hypercyclic",
      "establish related results",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3402C"
    }
  }
}