{
  "id": "math/0502205",
  "version": "v1",
  "published": "2005-02-10T11:47:40.000Z",
  "updated": "2005-02-10T11:47:40.000Z",
  "title": "On some stability results of frame atomic decompositions",
  "authors": [
    "Massimo Fornasier"
  ],
  "categories": [
    "math.FA",
    "math.NA"
  ],
  "abstract": "This paper is concerned with the implications of sufficient conditions ensuring that a perturbation of a frame is again a frame. We emphasize how stability of frames is fundamental for numerical applications and we discuss in particular the connection between stability conditions and localization principles for frame atomic decompositions in Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-10T11:47:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46B99",
      "46H99",
      "65D99",
      "65J05",
      "65T60"
    ],
    "keywords": [
      "frame atomic decompositions",
      "stability results",
      "sufficient conditions",
      "stability conditions",
      "localization principles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2205F"
    }
  }
}