{
  "id": "0710.1258",
  "version": "v1",
  "published": "2007-10-05T15:58:34.000Z",
  "updated": "2007-10-05T15:58:34.000Z",
  "title": "Minimization of convex functionals over frame operators",
  "authors": [
    "Pedro Massey",
    "Mariano Ruiz"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-05T15:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15"
    ],
    "keywords": [
      "frame operator",
      "convex functionals",
      "minimization",
      "finite dimensional hilbert space",
      "benedetto-fickus frame potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1258M"
    }
  }
}