{
  "id": "1505.04464",
  "version": "v1",
  "published": "2015-05-17T21:46:00.000Z",
  "updated": "2015-05-17T21:46:00.000Z",
  "title": "Asymptotic properties of $C_0$-semigroups under perturbations",
  "authors": [
    "Martin Adler"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "For a given $C_0$-semigroup $(T(t))_{t\\geq 0}$ we consider Staffans-Weiss perturbations $(B,C)$ of its generator as studied in [1] and investigate the robustness of asymptotic properties of the perturbed $C_0$-semigroup $(T_{BC}(t))_{t\\geq 0}$. As a concrete application we study the asymptotic behavior of a neutral semigroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-17T21:46:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D06",
      "47A55",
      "34E10",
      "34K40"
    ],
    "keywords": [
      "asymptotic properties",
      "asymptotic behavior",
      "staffans-weiss perturbations",
      "concrete application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504464A"
    }
  }
}