{
  "id": "1701.05586",
  "version": "v1",
  "published": "2017-01-19T20:10:16.000Z",
  "updated": "2017-01-19T20:10:16.000Z",
  "title": "Spectral sets for numerical range",
  "authors": [
    "Hubert Klaja",
    "Javad Mashreghi",
    "Thomas Ransford"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We define and study a numerical-range analogue of the notion of spectral set. Among the results obtained are a positivity criterion and a dilation theorem, analogous to those already known for spectral sets. An important difference from the classical definition is the role played in the new definition by the base point. We present some examples to illustrate this aspect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-19T20:10:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral set",
      "numerical range",
      "numerical-range analogue",
      "base point",
      "dilation theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}