{
  "annotation_id": "a212f9d3-c031-4638-bb59-c26f3bd5a8fe",
  "date_created": "2026-02-17T05:53:08.045000Z",
  "date_modified": "2026-02-17T05:53:08.045000Z",
  "file_hash": "1e437874a38b3eef9f8365bf23528399ec5047fc693874dbcb0eee7370ad1112",
  "private": false,
  "record": {
    "abstract": "We consider the notion of an exponential dichotomy with respect to a family of norms for an evolutionary family in a Banach space, and we characterize it by the admissibility of the pair $(L^p,L^q)$ for $p,q \\in [1,\\infty]$ with $p\\ge q$. We then use this characterization to establish the robustness of an exponentially dichotomic evolutionary family with respect to a family of norms.",
    "arxiv_id": "2601.06534",
    "authors": [
      "Trinh Viet Duoc",
      "Nguyen Van Trong"
    ],
    "categories": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Exponential dichotomy and $(L^p,L^q)$-admissibility",
    "url": "https://arxiv.org/abs/2601.06534",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2de34b83-abe8-4e51-9a71-03c0ad394f80",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}