{
  "id": "0807.1052",
  "version": "v1",
  "published": "2008-07-07T15:48:37.000Z",
  "updated": "2008-07-07T15:48:37.000Z",
  "title": "Compact $AC(σ)$ operators",
  "authors": [
    "Brenden Ashton",
    "Ian Doust"
  ],
  "journal": "Integral Equations Operator Theory, 63 (2009), 459-472",
  "doi": "10.1007/s00020-009-1667-0",
  "categories": [
    "math.FA"
  ],
  "abstract": "All compact $AC(\\sigma)$ operators have a representation analogous to that for compact normal operators. As a partial converse we obtain conditions which allow one to construct a large number of such operators. Using the results in the paper, we answer a number of questions about the decomposition of a compact $AC(\\sigma)$ into real and imaginary parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-07T15:48:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B40"
    ],
    "keywords": [
      "compact normal operators",
      "partial converse",
      "large number",
      "imaginary parts",
      "conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1052A"
    }
  }
}