{
  "id": "1308.5416",
  "version": "v1",
  "published": "2013-08-25T15:25:05.000Z",
  "updated": "2013-08-25T15:25:05.000Z",
  "title": "Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces",
  "authors": [
    "Ryan Causey"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1212.5576",
  "categories": [
    "math.FA"
  ],
  "abstract": "For each ordinal $\\alpha< \\omega_1$, we prove the existence of a separable, reflexive Banach space with a basis and Szlenk index $\\omega^{\\alpha+1}$ which is universal for the class of separable, reflexive Banach spaces $X$ such that the Szlenk indices $Sz(X), Sz(X^*)$ do not exceed $\\omega^\\alpha$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-25T15:25:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reflexive banach space",
      "generalized baernstein spaces",
      "szlenk index",
      "estimation",
      "szlenk indices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.5416C"
    }
  }
}