{
  "id": "1405.3777",
  "version": "v1",
  "published": "2014-05-15T09:39:06.000Z",
  "updated": "2014-05-15T09:39:06.000Z",
  "title": "Joint spectra of representations of Lie algebras by compact operators",
  "authors": [
    "Enrico Boasso"
  ],
  "comment": "8 pages, original research article",
  "journal": "Glasgow Math. J. 46 (2) (2004), 355-362",
  "categories": [
    "math.FA"
  ],
  "abstract": "Given $X$ a complex Banach space, $L$ a complex nilpotent finite dimensional Lie algebra, and $\\rho\\colon L\\to L(X)$, a representation of $L$ in $X$ such that $\\rho (l)\\in K(X)$ for all $l\\in L$, the Taylor, the Slodkowski, the Fredholm, the split and the Fredholm split joint spectra of the representation $\\rho$ are computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-15T09:39:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A13",
      "47A10",
      "17B15",
      "17B55"
    ],
    "keywords": [
      "compact operators",
      "representation",
      "nilpotent finite dimensional lie algebra",
      "complex nilpotent finite dimensional lie",
      "fredholm split joint spectra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.3777B"
    }
  }
}