{
  "annotation_id": "090e74f4-12c7-4a3f-9025-72a2f1c55dd2",
  "date_created": "2026-02-17T05:53:11.760000Z",
  "date_modified": "2026-02-17T05:53:11.760000Z",
  "file_hash": "eb9688ce35f4bf5f195cefec9e878968b5ce7873e4c095a465cbc85343df8bec",
  "private": false,
  "record": {
    "abstract": "The paper extends three results regarding the nth root problem by embedding classes of Hilbert-space operators into the class of posinormal operators. For instance, it is shown that (i) for coposinormal operators, if T is paranormal and T^n is quasinormal, then T is normal, and (ii) for posinormal operators, if T is k-quasiparanormal and T^n is normal, then T is normal. Moreover, (iii) it is also shown that the latter result is not conditioned to the separability of the underlying Hilbert space, even if T is not posinormal, where, in such a case, T is the direct sum of a normal operator with a nilpotent one.",
    "arxiv_id": "2601.07203",
    "authors": [
      "C. S. Kubrusly",
      "H. M Stankovic"
    ],
    "categories": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Posinormality and the Root Problem",
    "url": "https://arxiv.org/abs/2601.07203",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab6cf002-5347-4f21-9604-5716fffc1f2f",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}