{
  "id": "2310.06331",
  "version": "v1",
  "published": "2023-10-10T05:59:41.000Z",
  "updated": "2023-10-10T05:59:41.000Z",
  "title": "Geometry of spectral bounds of curves of unitary operators",
  "authors": [
    "Martin Miglioli"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This article presents a new proof of a theorem concerning bounds of the spectrum of the product of unitary operators and a generalization for differentiable curves of this theorem. The proofs involve metric geometric arguments in the group of unitary operators and the sphere where these operators act.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-10T05:59:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "22E65",
      "58B20",
      "58E50"
    ],
    "keywords": [
      "unitary operators",
      "spectral bounds",
      "metric geometric arguments",
      "theorem concerning bounds",
      "operators act"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}