{
  "id": "2008.12877",
  "version": "v1",
  "published": "2020-08-28T23:31:59.000Z",
  "updated": "2020-08-28T23:31:59.000Z",
  "title": "Completion by perturbations",
  "authors": [
    "Victor Olevskii"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We prove that any non-complete orthonormal system in a Hilbert space can be transformed into a basis by small perturbations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-28T23:31:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B15",
      "42C30",
      "15B10"
    ],
    "keywords": [
      "completion",
      "non-complete orthonormal system",
      "small perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}