{
  "id": "2004.07622",
  "version": "v1",
  "published": "2020-04-16T12:21:50.000Z",
  "updated": "2020-04-16T12:21:50.000Z",
  "title": "Ergodic properties of convolution operators",
  "authors": [
    "Jorge Galindo",
    "Enrique Jordá"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $G$ be a locally compact group and $\\mu$ be a measure on $G$. In this paper we find conditions for the convolution operators $\\lambda_p(\\mu)$, defined on $L^p(G)$ and given by convolution by $\\mu$, to be mean ergodic and uniformly mean ergodic. The ergodic properties of the operators $\\lambda_p(\\mu)$ are related to the ergodic properties of the measure $\\mu$ as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-16T12:21:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A05",
      "43A15",
      "43A20",
      "46H99",
      "47A35"
    ],
    "keywords": [
      "ergodic properties",
      "convolution operators",
      "locally compact group",
      "uniformly mean ergodic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}