{
  "id": "1207.2327",
  "version": "v1",
  "published": "2012-07-10T12:21:56.000Z",
  "updated": "2012-07-10T12:21:56.000Z",
  "title": "Spectrum of a family of operators",
  "authors": [
    "Simona Macovei"
  ],
  "comment": "23 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space. In addition, we present some results which adapt to asymptotic case the classic results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-10T12:21:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47-01",
      "47A10"
    ],
    "keywords": [
      "linear bounded operator",
      "resolvent set",
      "banach space",
      "asymptotic case",
      "start point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2327M"
    }
  }
}