{
  "id": "2005.03821",
  "version": "v1",
  "published": "2020-05-08T02:10:01.000Z",
  "updated": "2020-05-08T02:10:01.000Z",
  "title": "Contractions, Cogenerators, and Weak Stability",
  "authors": [
    "Robert E. O'Brien"
  ],
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "A contraction semigroup T on a Hilbert space H and its cogenerator S define an algebra, the limit algebra - which determines the structure of the subspace of weakly Poisson recurrent vectors and gives a necessary and sufficient condition for T and S to be weakly stable equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-08T02:10:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A20",
      "47A35"
    ],
    "keywords": [
      "weak stability",
      "cogenerator",
      "weakly poisson recurrent vectors",
      "contraction semigroup",
      "hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}