{
  "id": "1809.06457",
  "version": "v1",
  "published": "2018-09-17T21:55:46.000Z",
  "updated": "2018-09-17T21:55:46.000Z",
  "title": "On the nuclearity of spaces of weighted smooth functions",
  "authors": [
    "Karsten Kruse"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study spaces $\\mathcal{EV}(\\Omega)$ of weighted smooth functions on an open subset $\\Omega\\subset\\mathbb{R}^{d}$ whose topology is given by a family of weights $\\mathcal{V}$. We derive sufficient conditions on the weights which make $\\mathcal{EV}(\\Omega)$ a nuclear space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-17T21:55:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A11",
      "46E10"
    ],
    "keywords": [
      "weighted smooth functions",
      "nuclearity",
      "derive sufficient conditions",
      "study spaces",
      "open subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}