{
  "id": "2010.02606",
  "version": "v1",
  "published": "2020-10-06T10:31:03.000Z",
  "updated": "2020-10-06T10:31:03.000Z",
  "title": "Weighted (PLB)-spaces of ultradifferentiable functions",
  "authors": [
    "Andreas Debrouwere",
    "Lenny Neyt"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterize when weighted (PLB)-spaces of ultradifferentiable functions are barrelled and ultrabornological. As a corollary of these results, we consider the topological invariants of the multiplier spaces of the Gelfand-Shilov spaces",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-06T10:31:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ultradifferentiable functions",
      "multiplier spaces",
      "gelfand-shilov spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}