{
  "id": "0806.0284",
  "version": "v2",
  "published": "2008-06-02T14:25:52.000Z",
  "updated": "2010-03-23T17:06:26.000Z",
  "title": "Representations of logmodular algebras",
  "authors": [
    "Vern I. Paulsen",
    "Mrinal Raghupathi"
  ],
  "comment": "14 pages, to appear in Trans. Amer. Math. Soc.",
  "categories": [
    "math.OA",
    "math.FA"
  ],
  "abstract": "We study the question of whether or not contractive representations of logmodular algebras are completely contractive. We prove that a 2-contractive representation of a logmodular algebra extends to a positive map on the enveloping C*-algebra, which we show generalizes a result of Foias and Suciu on uniform logmodular algebras. Our proof uses non-commutative operator space generalizations of classical results on 2-summing maps and semispectral measures. We establish some matrix factorization results for uniform logmodular algebras",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-23T17:06:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L55",
      "47A67",
      "47A20"
    ],
    "keywords": [
      "representation",
      "uniform logmodular algebras",
      "logmodular algebra extends",
      "matrix factorization results",
      "non-commutative operator space generalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0284P"
    }
  }
}