{
  "id": "1709.06872",
  "version": "v1",
  "published": "2017-09-20T14:04:09.000Z",
  "updated": "2017-09-20T14:04:09.000Z",
  "title": "A note on perturbations of Fusion Frames",
  "authors": [
    "M. Ruiz",
    "P. Calderón"
  ],
  "comment": "8 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this work, we consider some relationships between a closed range operator $T$ and a fusion frame $\\mathcal{W}=(W_i,w_i)_{i\\in I}$ for a Hilbert space $\\mathcal{H}$ that provides that the sequence $(\\overline{T(W_i)},v_i)_{i\\in I}$ is a fusion frame sequence for $\\mathcal{H}$, if we consider a suitable family of weights $\\{v_i\\}_{i\\in I}$. This (sufficient) condition generalizes some previous work in the subject.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-20T14:04:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perturbations",
      "fusion frame sequence",
      "closed range operator",
      "hilbert space",
      "condition generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}