{
  "id": "math/0212166",
  "version": "v1",
  "published": "2002-12-11T23:12:55.000Z",
  "updated": "2002-12-11T23:12:55.000Z",
  "title": "On a question of Haskell P. Rosenthal",
  "authors": [
    "Valentin Ferenczi",
    "Anna Maria Pelczar",
    "Christian Rosendal"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that under uniformity or other natural assumptions, a basis with this property is equivalent to the unit vector basis of $c_0$ or $\\ell_p$. We also address an analogous problem for spreading models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-11T23:12:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B15"
    ],
    "keywords": [
      "unit vector basis",
      "banach space",
      "natural assumptions",
      "normalized block sequence",
      "subsequence equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12166F"
    }
  }
}