{
  "id": "math/0003020",
  "version": "v1",
  "published": "2000-03-03T10:48:34.000Z",
  "updated": "2000-03-03T10:48:34.000Z",
  "title": "Orlicz-Pettis polynomials on Banach spaces",
  "authors": [
    "Manuel González",
    "Joaquín M. Gutiérrez"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-03T10:48:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46G25",
      "46B20"
    ],
    "keywords": [
      "banach spaces",
      "orlicz-pettis polynomials",
      "weakly unconditionally cauchy series",
      "equivalent definitions",
      "corresponding linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3020G"
    }
  }
}