{
  "id": "2305.15085",
  "version": "v1",
  "published": "2023-05-24T12:02:58.000Z",
  "updated": "2023-05-24T12:02:58.000Z",
  "title": "Lebesgue decomposition for positive operators revisited",
  "authors": [
    "Yoshiki Aibara",
    "Yoshimichi Ueda"
  ],
  "comment": "13pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We explain how Pusz--Woronowicz's idea of their functional calculus fits the theory of Lebesgue decomposition for positive operators on Hilbert spaces initially developed by Ando. In this way, we reconstruct the essential and fundamental part of the theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-24T12:02:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lebesgue decomposition",
      "positive operators",
      "functional calculus fits",
      "pusz-woronowiczs idea",
      "fundamental part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}