{
  "id": "math/0301269",
  "version": "v1",
  "published": "2003-01-23T21:30:50.000Z",
  "updated": "2003-01-23T21:30:50.000Z",
  "title": "Minimal vectors in arbitrary Banach spaces",
  "authors": [
    "Vladimir G. Troitsky"
  ],
  "comment": "6 pages. To appear in Proc. Amer. Math. Soc",
  "categories": [
    "math.FA"
  ],
  "abstract": "We extend the method of minimal vectors to arbitrary Banach spaces. It is proved, by a variant of the method, that certain quasinilpotent operators on arbitrary Banach spaces have hyperinvariant subspaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-23T21:30:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary banach spaces",
      "minimal vectors",
      "quasinilpotent operators",
      "hyperinvariant subspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1269T"
    }
  }
}