• Title of article

    A characterization of strongly measurable Kurzweil–Henstock integrable functions and weakly continuous operators

  • Author/Authors

    Valeria Marraffa، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    9
  • From page
    1171
  • To page
    1179
  • Abstract
    We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by f = ∞n=1 xnχEn , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions. © 2007 Elsevier Inc. All rights reserved.
  • Keywords
    Pettis integral , Kurzweil–Henstock integral , Weakly completely continuous operator
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    936821