{
  "id": "math/9202203",
  "version": "v1",
  "published": "1992-02-28T15:51:29.000Z",
  "updated": "1992-02-28T15:51:29.000Z",
  "title": "Lower estimates of random unconditional constants of Walsh-Paley martingales with values in banach spaces",
  "authors": [
    "Stefan Geiss"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "For a Banach space X we define RUMD_n(X) to be the infimum of all c>0 such that (AVE_{\\epsilon_k =\\pm 1} || \\sum_1^n epsilon_k (M_k - M_{k-1} )||_{L_2^X}^2 )^{1/2} <= c || M_n ||_{L_2^X} holds for all Walsh-Paley martingales {M_k}_0^n subset L_2^X with M_0 =0. We relate the asymptotic behaviour of the sequence {RUMD(X)}_{n=1}^{infinity} to geometrical properties of the Banach space X such as K-convexity and superreflexivity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-02-28T15:51:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach space",
      "random unconditional constants",
      "walsh-paley martingales",
      "lower estimates",
      "asymptotic behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......2203G"
    }
  }
}