{
  "id": "1510.03828",
  "version": "v1",
  "published": "2015-10-13T19:16:28.000Z",
  "updated": "2015-10-13T19:16:28.000Z",
  "title": "Analytic structure of weighted shifts on directed trees",
  "authors": [
    "Piotr Budzynski",
    "Piotr Dymek",
    "Marek Ptak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operators in question.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T19:16:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B37",
      "47L75"
    ],
    "keywords": [
      "weighted shift",
      "directed tree",
      "analytic structure",
      "study spectral properties",
      "multiplier algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003828B"
    }
  }
}