{
  "id": "math/0701324",
  "version": "v1",
  "published": "2007-01-11T15:11:25.000Z",
  "updated": "2007-01-11T15:11:25.000Z",
  "title": "Embedding into Banach spaces with finite dimensional decompositions",
  "authors": [
    "E. Odell",
    "Th. Schlumprecht"
  ],
  "comment": "26 pages",
  "journal": "RACSAM Rev. R. Acad. Cienc. Exactas F\\~A?s. Nat. Ser. A Mat. 100 (2006), no. 1-2, 295--323",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper deals with the following types of problems: Assume a Banach space $X$ has some property (P). Can it be embedded into some Banach space $Z$ with a finite dimensional decomposition having property (P), or more generally, having a property related to (P)? Secondly, given a class of Banach spaces, does there exist a Banach space in this class, or in a closely related one, which is universal for this class?",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-11T15:11:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B03",
      "46B20"
    ],
    "keywords": [
      "banach space",
      "finite dimensional decomposition",
      "paper deals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1324O"
    }
  }
}