{
  "id": "1004.2643",
  "version": "v3",
  "published": "2010-04-15T14:50:32.000Z",
  "updated": "2010-10-22T13:16:36.000Z",
  "title": "On summability of nonlinear mappings: a new approach",
  "authors": [
    "Daniel Pellegrino",
    "Joedson Santos"
  ],
  "comment": "This new presentation of the manuscript (quite modified and reduced) is the version accepted for publication in Math. Z. Part of the old version (which does not appear in this new version) will appear in a forthcoming paper",
  "categories": [
    "math.FA"
  ],
  "abstract": "The main goal of this paper is to characterize arbitrary nonlinear (non-multilinear) mappings $f:X_{1}\\times...\\times X_{n}\\rightarrow Y$ between Banach spaces that satisfy a quite natural Pietsch Domination-type theorem around a given point $(a_{1},...,a_{n})\\in$ $X_{1}\\times...\\times X_{n}$. As a consequence of our approach a notion of weighted summability arises naturally, which may be an interesting topic for further investigation.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-10-22T13:16:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear mappings",
      "quite natural pietsch domination-type theorem",
      "characterize arbitrary nonlinear",
      "banach spaces",
      "main goal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2643P"
    }
  }
}