{
  "id": "1709.08616",
  "version": "v1",
  "published": "2017-09-25T17:55:30.000Z",
  "updated": "2017-09-25T17:55:30.000Z",
  "title": "Some Notes on Complex Symmetric Operators",
  "authors": [
    "Marcos S. Ferreira"
  ],
  "comment": "4 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we show that every conjugation $C$ on the Hardy-Hilbert space $H^{2}$ is of type $C=T^{*}C_{1}T$, where $T$ is an topological linear isomorphism and $C_{1}f\\left(z\\right)=\\overline{f\\left(\\overline{z}\\right)}$, with $f\\in H^{2}$. Moreover, we give a necessary and sufficient condition for two conjugations of a complex symmetric symmetric Toeplitz operator to be commutative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-25T17:55:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A05"
    ],
    "keywords": [
      "complex symmetric operators",
      "complex symmetric symmetric toeplitz operator",
      "sufficient condition",
      "topological linear isomorphism",
      "hardy-hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}