{
  "id": "1008.3326",
  "version": "v3",
  "published": "2010-08-19T15:36:40.000Z",
  "updated": "2011-10-28T06:17:43.000Z",
  "title": "On typical properties of Hilbert space operators",
  "authors": [
    "Tanja Eisner",
    "Tamas Matrai"
  ],
  "comment": "34 pages, the referee's suggestions incorporated, proof added that contractions on a separable Hilbert space form a Polish space for the weak polynomial topology. To appear in Israel J. Math",
  "journal": "Israel J. Math. 195 (2013), 247-281",
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "We study the typical behavior of bounded linear operators on infinite dimensional complex separable Hilbert spaces in the norm, strong-star, strong, weak polynomial and weak topologies. In particular, we investigate typical spectral properties, the problem of unitary equivalence of typical operators, and their embeddability into C_0-semigroups. Our results provide information on the applicability of Baire category methods in the theory of Hilbert space operators.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-28T06:17:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A05",
      "47A10",
      "54E52"
    ],
    "keywords": [
      "hilbert space operators",
      "typical properties",
      "dimensional complex separable hilbert spaces",
      "infinite dimensional complex separable hilbert",
      "baire category methods"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.3326E"
    }
  }
}