{
  "id": "1302.4757",
  "version": "v1",
  "published": "2013-02-19T21:33:11.000Z",
  "updated": "2013-02-19T21:33:11.000Z",
  "title": "The Schur-Horn theorem for operators with finite spectrum",
  "authors": [
    "Marcin Bownik",
    "John Jasper"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterize the set of diagonals of the unitary orbit of a self-adjoint operator with a finite spectrum. Our result extends the Schur-Horn theorem from a finite dimensional setting to an infinite dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections and the second author's result for operators with three point spectrum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-19T21:33:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "47B15",
      "46C05"
    ],
    "keywords": [
      "schur-horn theorem",
      "finite spectrum",
      "second authors result",
      "infinite dimensional hilbert space analogous",
      "result extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.4757B"
    }
  }
}