{
  "id": "2108.04383",
  "version": "v1",
  "published": "2021-08-09T23:28:31.000Z",
  "updated": "2021-08-09T23:28:31.000Z",
  "title": "Unbounded multipliers of complete Pick spaces",
  "authors": [
    "Michael T. Jury",
    "Robert T. W. Martin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna-Pick (CNP) kernel. For such a densely defined operator $T$, the domains of $T$ and $T^*$ are reproducing kernel Hilbert spaces contractively contained in the ambient space. We study several aspects of these spaces, especially the domain of $T^*$, which can be viewed as analogs of the classical deBranges-Rovnyak spaces in the unit disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-09T23:28:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47B32"
    ],
    "keywords": [
      "complete pick spaces",
      "unbounded multipliers",
      "reproducing kernel hilbert spaces",
      "ambient space",
      "complete nevanlinna-pick"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}