{
  "id": "2405.18947",
  "version": "v1",
  "published": "2024-05-29T09:58:58.000Z",
  "updated": "2024-05-29T09:58:58.000Z",
  "title": "On Structured Perturbations of Positive Semigroups",
  "authors": [
    "Alessio Barbieri",
    "Klaus-Jochen Engel"
  ],
  "comment": "37 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "In this note we generalize perturbation results for positive $C_0$-semigroups on AM- and AL-spaces and give a Weiss--Staffans type perturbation result for generators of positive semigroups on Banach lattices. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-29T09:58:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D06",
      "47A55",
      "34G10",
      "46B42"
    ],
    "keywords": [
      "positive semigroups",
      "structured perturbations",
      "weiss-staffans type perturbation result",
      "banach lattices",
      "generalize perturbation results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}