{
  "id": "1511.02329",
  "version": "v1",
  "published": "2015-11-07T09:17:34.000Z",
  "updated": "2015-11-07T09:17:34.000Z",
  "title": "A note on absorption semigroups",
  "authors": [
    "Jochen Glück"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $A$ be a bounded linear operator and $P$ a bounded linear projection on a Banach space $X$. We show that the operator semigroup $(e^{t(A-kP)})_{t \\ge 0}$ converges to a semigroup on a subspace of $X$ as $k \\to \\infty$ and we compute the limit semigroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-07T09:17:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D06",
      "47A10"
    ],
    "keywords": [
      "absorption semigroups",
      "bounded linear projection",
      "limit semigroup",
      "bounded linear operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151102329G"
    }
  }
}