{
  "id": "1608.08543",
  "version": "v1",
  "published": "2016-08-30T16:19:31.000Z",
  "updated": "2016-08-30T16:19:31.000Z",
  "title": "Toeplitz operators, pseudo-homogeneous symbols and moment maps on the complex projective space",
  "authors": [
    "Miguel Antonio Morales-Ramos",
    "Raúl Quiroga-Barranco",
    "Armando Sánchez-Nungaray"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Following previous works for the unit ball, we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for Toeplitz operators. A geometric interpretation of these symbols in terms of moment maps is developed. This leads us to the introduction of a new family of symbols, extended pseudo-homogeneous, that provide larger commutative Banach algebras generated by Toeplitz operators. This family of symbols provides new commutative Banach algebras generated by Toeplitz operators on the unit ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-30T16:19:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "53D20",
      "32A36",
      "32M15"
    ],
    "keywords": [
      "toeplitz operators",
      "complex projective space",
      "moment maps",
      "unit ball",
      "larger commutative banach algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}