{
  "id": "math/0408004",
  "version": "v2",
  "published": "2004-07-31T13:35:14.000Z",
  "updated": "2005-02-22T22:13:58.000Z",
  "title": "Skipped Blocking and other Decompositions in Banach spaces",
  "authors": [
    "Steven F. Bellenot"
  ],
  "comment": "11 pages, 0 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "Necessary and sufficient conditions are given for when a sequence of finite dimensional subspaces (X_n) can be blocked to be a skipped blocking decompositon (SBD). These are very similar to known results about blocking of biorthogonal sequences. A separable space $X$ has PCP, if and only if, every norming decomposition (X_n) can be blocked to be a boundedly complete SBD. Every boundedly complete SBD is a JT-decomposition.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-22T22:13:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B15",
      "46B22"
    ],
    "keywords": [
      "banach spaces",
      "skipped blocking",
      "boundedly complete sbd",
      "decomposition",
      "finite dimensional subspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8004B"
    }
  }
}