{
  "id": "math/9201219",
  "version": "v1",
  "published": "1990-11-16T00:00:00.000Z",
  "updated": "1990-11-16T00:00:00.000Z",
  "title": "On quotients of Banach spaces having shrinking unconditional bases",
  "authors": [
    "Edward Odell"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "It is proved that if a Banach space $Y$ is a quotient of a Banach space having a shrinking unconditional basis, then every normalized weakly null sequence in $Y$ has an unconditional subsequence. The proof yields the corollary that every quotient of Schreier's space is $c_o$-saturated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1990-11-16T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach space",
      "shrinking unconditional bases",
      "shrinking unconditional basis",
      "proof yields",
      "unconditional subsequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}