• Title of article

    On remotality for convex sets in Banach spaces Original Research Article

  • Author/Authors

    Miguel Martin، نويسنده , , T.S.S.R.K. Rao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    5
  • From page
    392
  • To page
    396
  • Abstract
    We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal. This settles a problem raised by Sababheh and Khalil in [M. Sababheh, R. Khalil, Remotality of closed bounded convex sets, Numer. Funct. Anal. Optim. 29 (2008) 1166–1170].
  • Keywords
    Remotal convex sets , Radon–Nikod?m property , Integral representation
  • Journal title
    Journal of Approximation Theory
  • Serial Year
    2010
  • Journal title
    Journal of Approximation Theory
  • Record number

    852751

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=852751