{
  "id": "2001.00005",
  "version": "v1",
  "published": "2019-12-28T09:13:05.000Z",
  "updated": "2019-12-28T09:13:05.000Z",
  "title": "Approach to the construction of the spaces $ S{D^p}[\\mathbb{R}^\\infty]$ for $1 \\leq p \\leq \\infty$",
  "authors": [
    "Hemanta Kalita",
    "Bipan Hazarika"
  ],
  "comment": "17",
  "categories": [
    "math.FA"
  ],
  "abstract": "The objective of this paper is to construct separable Banach spaces $S{D^p}[\\mathbb{R}^\\infty]$ for $1\\leq p \\leq \\infty$, each of which contains the $L^p[\\mathbb{R}^\\infty] $ spaces, as well as finitely additive measures, as compact dense embedding. Also these spaces contains Henstock-Kurzweil integrable functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-28T09:13:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A39",
      "28B05",
      "46B03",
      "46B20",
      "46B25",
      "46T12"
    ],
    "keywords": [
      "construction",
      "spaces contains henstock-kurzweil integrable functions",
      "construct separable banach spaces",
      "compact dense embedding",
      "additive measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}