{
  "id": "1611.06558",
  "version": "v1",
  "published": "2016-11-20T18:13:04.000Z",
  "updated": "2016-11-20T18:13:04.000Z",
  "title": "Bounded perturbations of Bernstein functions of several operator variables",
  "authors": [
    "A. R. Mirotin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The paper deals with (multidimensional and one-dimensional) Bochner-Phillips functional calculus. Bounded perturbations of Bernstein functions of (one or several commuting) semigroup generators on Banach spaces are considered, conditions for Lipschitzness and Frechet-differentiability of such functions are obtained, estimates for the norm of commutators are proved, and a generalization of Livschits-Kre\\u{\\i}n trace formula derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-20T18:13:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bernstein functions",
      "bounded perturbations",
      "operator variables",
      "bochner-phillips functional calculus",
      "paper deals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}