{
  "id": "2012.11669",
  "version": "v1",
  "published": "2020-12-21T20:29:27.000Z",
  "updated": "2020-12-21T20:29:27.000Z",
  "title": "Mean ergodic composition operators on spaces of holomorphic functions on a Banach space",
  "authors": [
    "David Jornet",
    "Daniel Santacreu",
    "Pablo Sevilla-Peris"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space: that of all holomorphic functions, that of holomorphic functions of bounded type and that of bounded holomorphic functions. Several examples in the different settings are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-21T20:29:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holomorphic functions",
      "banach space",
      "study mean ergodic composition operators",
      "infinite dimensional spaces",
      "unit ball"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}