{
  "id": "0704.3349",
  "version": "v3",
  "published": "2007-04-25T12:23:01.000Z",
  "updated": "2008-06-23T13:39:17.000Z",
  "title": "J-class weighted shifts on the space of bounded sequences of complex numbers",
  "authors": [
    "George Costakis",
    "Antonios Manoussos"
  ],
  "comment": "We correct some of the statements and the proofs",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "We provide a characterization of $J$-class and $J^{mix}$-class unilateral weighted shifts on $l^{\\infty}(\\mathbb{N})$ in terms of their weight sequences. In contrast to the previously mentioned result we show that a bilateral weighted shift on $l^{\\infty}(\\mathbb{Z})$ cannot be a $J$-class operator.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-06-23T13:39:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "37B99",
      "54H20"
    ],
    "keywords": [
      "j-class weighted shifts",
      "complex numbers",
      "bounded sequences",
      "class unilateral weighted shifts",
      "weight sequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.3349C"
    }
  }
}