{
  "id": "2008.03668",
  "version": "v1",
  "published": "2020-08-09T06:11:02.000Z",
  "updated": "2020-08-09T06:11:02.000Z",
  "title": "To be a matrix or to be an operator on an infinite dimensional Hilbert space, that is the question",
  "authors": [
    "M. S. Moslehian"
  ],
  "comment": "7 pages, any comments/addition would be appreciated",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP",
    "math.OA",
    "math.SP"
  ],
  "abstract": "In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces. This essay is written as in such a friendly-reader to show that the situation in the infinite dimensional setting is trickier than the finite one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-09T06:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B02",
      "15A15"
    ],
    "keywords": [
      "infinite dimensional hilbert space",
      "expository article",
      "friendly-reader",
      "infinite dimensional setting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}