{
  "id": "1204.5621",
  "version": "v1",
  "published": "2012-04-25T11:14:03.000Z",
  "updated": "2012-04-25T11:14:03.000Z",
  "title": "When is the Haar measure a Pietsch measure for nonlinear mappings?",
  "authors": [
    "G. Botelho",
    "D. Pellegrino",
    "P. Rueda",
    "J. Santos",
    "J. B. Seoane-Sepúlveda"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that, as in the linear case, the normalized Haar measure on a compact topological group $G$ is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of $C(G)$. This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-25T11:14:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pietsch measure",
      "nonlinear mappings",
      "nonlinear summing mappings",
      "closed translation invariant subspaces",
      "normalized haar measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5621B"
    }
  }
}