{
  "id": "math/9710204",
  "version": "v1",
  "published": "1997-10-15T00:00:00.000Z",
  "updated": "1997-10-15T00:00:00.000Z",
  "title": "Superreflexivity and J-convexity of Banach spaces",
  "authors": [
    "Joerg Wenzel"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "A Banach space X is superreflexive if each Banach space Y that is finitely representable in X is reflexive. Superreflexivity is known to be equivalent to J-convexity and to the non-existence of uniformly bounded factorizations of the summation operators S_n through X. We give a quantitative formulation of this equivalence. This can in particular be used to find a factorization of S_n through X, given a factorization of S_N through [L_2,X], where N is `large' compared to n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-10-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B07",
      "46B10"
    ],
    "keywords": [
      "banach space",
      "superreflexivity",
      "j-convexity",
      "summation operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math.....10204W"
    }
  }
}