{
  "id": "2209.07665",
  "version": "v1",
  "published": "2022-09-16T01:01:53.000Z",
  "updated": "2022-09-16T01:01:53.000Z",
  "title": "Dynamical Systems under Aluthge transforms",
  "authors": [
    "Linh Tran"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "In this note, we verify that the bounded shadowing property and quasi-hyperbolicity of bounded linear operators on Hilbert spaces are preserved under Aluthge transforms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-16T01:01:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A15",
      "47B49",
      "47B37",
      "37C20"
    ],
    "keywords": [
      "aluthge transforms",
      "dynamical systems",
      "bounded linear operators",
      "hilbert spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}