{
  "id": "1206.6553",
  "version": "v1",
  "published": "2012-06-28T03:14:17.000Z",
  "updated": "2012-06-28T03:14:17.000Z",
  "title": "Equality of uniform and Carleman spectra for bounded measurable functions",
  "authors": [
    "Bolis Basit",
    "Alan J. Pryde"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study various types of spectra of functions $\\phi:\\jj\\to X$, where $\\jj\\in\\{\\r_+,\\r\\}$ and $X$ is a complex Banach space. We show that uniform spectrum defined in [15] coincides with Carleman spectrum for $\\phi\\in L^{\\infty}(\\r,X)$. This result holds true also for Laplace (half-line) spectrum for $\\phi\\in L^{\\infty}(\\r_+,X)$. We also indicate a class of bounded measurable functions for which Laplace spectrum and Carleman spectrum are equal",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-28T03:14:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D03",
      "47A10",
      "40D05",
      "43A60"
    ],
    "keywords": [
      "bounded measurable functions",
      "carleman spectrum",
      "complex banach space",
      "result holds true",
      "laplace spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6553B"
    }
  }
}