{
  "id": "1411.1018",
  "version": "v1",
  "published": "2014-11-04T19:45:26.000Z",
  "updated": "2014-11-04T19:45:26.000Z",
  "title": "Properties of Multiplication Operators on Köthe spaces",
  "authors": [
    "René Erlin Castillo",
    "Julio C. Ramos Fernández",
    "Margot Salas-Brown"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We make an exhaustive study of the properties of multiplication operator $M_u$ acting on K\\\"othe spaces. We characterize the multiplication operators, acting on K\\\"othe spaces, which are: bounded, injective, onto, bijective, Fredholm, compact, with closed range and with range finite. We also study the spectrum, the $n$-power and calculate the essential norm of $M_u$ and we study the algebra of multiplication operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-04T19:45:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "46E30",
      "46B42"
    ],
    "keywords": [
      "multiplication operator",
      "köthe spaces",
      "properties",
      "range finite",
      "essential norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}