{
  "id": "math/0504294",
  "version": "v1",
  "published": "2005-04-14T13:44:34.000Z",
  "updated": "2005-04-14T13:44:34.000Z",
  "title": "On contractive projections in Hardy spaces",
  "authors": [
    "Florence Lancien",
    "Beata Randrianantoanina",
    "Eric Ricard"
  ],
  "comment": "9 pages, to appear in Studia Mathematica",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We prove a conjecture of Wojtaszczyk that for $1\\leq p<\\infty$, $p\\neq 2$, $H_p(\\mathbbT)$ does not admit any norm one projections with dimension of the range finite and bigger than 1. This implies in particular that for $1\\leq p<\\infty$, $p\\ne 2$, $H_p$ does not admit a Schauder basis with constant one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-14T13:44:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hardy spaces",
      "contractive projections",
      "range finite",
      "schauder basis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4294L"
    }
  }
}