{
  "id": "2210.13035",
  "version": "v1",
  "published": "2022-10-24T08:34:24.000Z",
  "updated": "2022-10-24T08:34:24.000Z",
  "title": "Characterizations of derivations on spaces of smooth functions",
  "authors": [
    "Włodzimierz Fechner",
    "Aleksandra Świątczak"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We provide a list of equivalent conditions under which an additive operator acting on a space of smooth functions on a compact real interval is a multiple of the derivation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-24T08:34:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B72",
      "39B82",
      "47B47"
    ],
    "keywords": [
      "smooth functions",
      "derivation",
      "characterizations",
      "compact real interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}