{
  "id": "1605.01675",
  "version": "v1",
  "published": "2016-05-05T18:07:40.000Z",
  "updated": "2016-05-05T18:07:40.000Z",
  "title": "Dilations of Semigroups of Contractions through Vessels",
  "authors": [
    "Eli Shamovich",
    "Victor Vinnikov"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $A_1,\\ldots,A_d$ be a $d$-tuple of commuting dissipative operators on a separable Hilbert space $\\mathcal{H}$. Using the theory of operator vessels and their associated systems, we give a construction of a dilation of the multi-parameter semigroup of contractions on $\\mathcal{H}$ given by $e^{i \\sum_{j=1}^d t_j A_j}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-05T18:07:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "contractions",
      "operator vessels",
      "separable hilbert space",
      "multi-parameter semigroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}