{
  "id": "1110.5422",
  "version": "v1",
  "published": "2011-10-25T07:13:19.000Z",
  "updated": "2011-10-25T07:13:19.000Z",
  "title": "Embeddings of Müntz spaces: the Hilbertian case",
  "authors": [
    "S. Waleed Noor",
    "Dan Timotin"
  ],
  "journal": "Proc. Amer. Math. Soc. 141 (2013), 2009-2023",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "Given a strictly increasing sequence $\\Lambda=(\\lambda_n)$ of nonegative real numbers, with $\\sum_{n=1}^\\infty \\frac{1}{\\lambda_n}<\\infty$, the M\\\"untz spaces $M_\\Lambda^p$ are defined as the closure in $L^p([0,1])$ of the monomials $x^{\\lambda_n}$. We discuss properties of the embedding $M_\\Lambda^p\\subset L^p(\\mu)$, where $\\mu$ is a finite positive Borel measure on the interval $[0,1]$. Most of the results are obtained for the Hilbertian case $p=2$, in which we give conditions for the embedding to be bounded, compact, or to belong to the Schatten--von Neumann ideals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-25T07:13:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E15",
      "46E20",
      "46E35"
    ],
    "keywords": [
      "hilbertian case",
      "müntz spaces",
      "finite positive borel measure",
      "schatten-von neumann ideals",
      "nonegative real numbers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5422W"
    }
  }
}