{
  "id": "2003.09399",
  "version": "v1",
  "published": "2020-03-20T17:27:26.000Z",
  "updated": "2020-03-20T17:27:26.000Z",
  "title": "The invariant subspaces of $ S\\oplus S^* $",
  "authors": [
    "Dan Timotin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Using the tools of Sz.-Nagy--Foias theory of contractions, we describe in detail the invariant subspaces of the operator $ S\\oplus S^* $, where $ S $ is the unilateral shift on a Hilbert space. This answers a question of C\\^amara and Ross.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-20T17:27:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A15",
      "47A45",
      "47B37"
    ],
    "keywords": [
      "invariant subspaces",
      "unilateral shift",
      "hilbert space",
      "contractions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}