{
  "id": "1911.03460",
  "version": "v1",
  "published": "2019-11-08T07:06:26.000Z",
  "updated": "2019-11-08T07:06:26.000Z",
  "title": "A Comparison of Two Generalisations of Triplets of Hilbert Spaces",
  "authors": [
    "Petru Cojuhari",
    "Aurelian Gheondea"
  ],
  "comment": "14 pages. arXiv admin note: substantial text overlap with arXiv:1309.0176",
  "categories": [
    "math.FA"
  ],
  "abstract": "We compare the concept of triplet of closely embedded Hilbert spaces with that of generalised triplet of Hilbert spaces in the sense of Berezanskii by showing when they coincide, when they are different, and when starting from one of them one can naturally produce the other one that essentially or fully coincides.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-08T07:06:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A70",
      "47B25",
      "47B34",
      "46E22",
      "46E35",
      "35H99",
      "35D30"
    ],
    "keywords": [
      "comparison",
      "generalisations",
      "closely embedded hilbert spaces",
      "generalised triplet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}