{
  "id": "1809.06085",
  "version": "v1",
  "published": "2018-09-17T09:17:43.000Z",
  "updated": "2018-09-17T09:17:43.000Z",
  "title": "Topological transitivity for cosine operators on Orlicz spaces",
  "authors": [
    "Vishvesh Kumar",
    "Ibrahim Akbarbaglu",
    "Mohammad Reza Azimi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "For a Young function $\\phi$ and a locally compact group $G,$ let $L^\\phi(G)$ denote the Orlicz space on $G.$ In this article, we present a necessary and sufficient condition for the topological transitivity of the cosine operators $C_n:=\\frac{1}{2}(T^n_{g,w}+S^n_{g,w})$ defined on $L^{\\phi}(G)$. We investigate the conditions for the cosine operators to be topological mixing. Moreover, we go on to prove the similar results for the direct sum of a sequence of the cosine operator. At the last, an example of a topological transitive cosine operator is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-17T09:17:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "46E30",
      "22D05"
    ],
    "keywords": [
      "orlicz space",
      "topological transitivity",
      "locally compact group",
      "direct sum",
      "similar results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}