{
  "id": "math/0310343",
  "version": "v2",
  "published": "2003-10-21T19:14:52.000Z",
  "updated": "2003-10-22T03:40:44.000Z",
  "title": "Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms",
  "authors": [
    "Dale Alspach",
    "Simei Tong"
  ],
  "comment": "4 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note we give a simple proof that every subspace of L_p, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently L_p has a norm determined by partitions and weights.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-22T03:40:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20"
    ],
    "keywords": [
      "unconditional basis",
      "equivalent partition",
      "weight norms",
      "simple proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10343A"
    }
  }
}