{
  "id": "2305.09364",
  "version": "v1",
  "published": "2023-05-16T11:41:42.000Z",
  "updated": "2023-05-16T11:41:42.000Z",
  "title": "Ascent and descent of WCT operators on Orlicz spaces",
  "authors": [
    "S. Nojoumi",
    "S. Shamsigamchi"
  ],
  "comment": "12 pages. arXiv admin note: text overlap with arXiv:1808.03061 by other authors",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we are concerned with weighted conditional type(WCT) operators on Orlicz spaces. We prove that all WCT operators have finite ascent. Also, we provide some sufficient conditions for WCT operators to have finite descent. As a consequence we find some decompositions for Orlicz space L. In the sequel we discuss power bounded WCT operators and some results on their Cesaro boundedness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-16T11:41:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orlicz space",
      "power bounded wct operators",
      "cesaro boundedness",
      "weighted conditional type",
      "finite descent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}