{
  "id": "1205.5493",
  "version": "v2",
  "published": "2012-05-24T16:20:34.000Z",
  "updated": "2012-12-19T00:56:43.000Z",
  "title": "Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators",
  "authors": [
    "Stephen Bruce Sontz"
  ],
  "comment": "18 pages, continues Part I in arXiv:1204.1033v3, minor updates, final version",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper continues the study of paragrassmann algebras begun in Part I with the definition and analysis of Toeplitz operators in the associated holomorphic Segal-Bargmann space. These are defined in the usual way as multiplication by a symbol followed by the projection defined by the reproducing kernel. These are non-trivial examples of spaces with Toeplitz operators whose symbols are not functions and which themselves are not spaces of functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-19T00:56:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47B32",
      "47B35",
      "81R05"
    ],
    "keywords": [
      "toeplitz operators",
      "quantum spaces",
      "paragrassmann algebras begun",
      "associated holomorphic segal-bargmann space",
      "non-trivial examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5493S"
    }
  }
}