{
  "id": "1505.00451",
  "version": "v1",
  "published": "2015-05-03T17:01:58.000Z",
  "updated": "2015-05-03T17:01:58.000Z",
  "title": "Regular Dirichlet subspaces and Mosco convergence",
  "authors": [
    "Liping Li",
    "Xiucui Song"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we shall explore the Mosco convergence on regular subspaces of one-dimensional irreducible and strongly local Dirichlet forms. We find that if the characteristic sets of regular subspaces are convergent, then their associated regular subspaces are convergent in sense of Mosco. Finally, we shall show some examples to illustrate that the Mosco convergence does not preserve any global properties of Dirichlet forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-03T17:01:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31C25",
      "60F05"
    ],
    "keywords": [
      "mosco convergence",
      "regular dirichlet subspaces",
      "strongly local dirichlet forms",
      "global properties",
      "characteristic sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150500451L"
    }
  }
}