{
  "id": "2308.03634",
  "version": "v1",
  "published": "2023-08-07T14:41:04.000Z",
  "updated": "2023-08-07T14:41:04.000Z",
  "title": "Projective and injective tensor products of Banach $L^0$-modules",
  "authors": [
    "Enrico Pasqualetto"
  ],
  "comment": "34 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study projective and injective tensor products of Banach $L^0$-modules over a $\\sigma$-finite measure space. En route, we extend to Banach $L^0$-modules several technical tools of independent interest, such as quotient operators, summable families, and Schauder bases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-07T14:41:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46M05",
      "47A80",
      "53C23",
      "16D90",
      "18F15"
    ],
    "keywords": [
      "injective tensor products",
      "projective",
      "finite measure space",
      "independent interest",
      "quotient operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}