{
  "id": "1407.1142",
  "version": "v2",
  "published": "2014-07-04T07:32:19.000Z",
  "updated": "2015-10-10T18:07:54.000Z",
  "title": "Regularity Properties of Sectorial Operators: Counterexamples and Open Problems",
  "authors": [
    "Stephan Fackler"
  ],
  "comment": "21 pages; Example 3.11 corrected; final version",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give a survey on the different regularity properties of sectorial operators on Banach spaces. We present the main results and open questions in the theory and then concentrate on the known methods to construct various counterexamples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-04T07:32:19.000Z",
      "comment": "21 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-10-10T18:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D06",
      "47A60",
      "35K90"
    ],
    "keywords": [
      "sectorial operators",
      "regularity properties",
      "open problems",
      "counterexamples",
      "banach spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1142F"
    }
  }
}