• Title of article

    Sigma-finite dual dentability indices

  • Author/Authors

    Fabian، نويسنده , , M. and Montesinos، نويسنده , , V. and Zizler، نويسنده , , V.، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2009
  • Pages
    10
  • From page
    498
  • To page
    507
  • Abstract
    A characterization of Banach spaces admitting uniformly Gâteaux smooth norms in terms of σ-finite dual dentability indices is given. Some applications in the area of weak compactness are discussed. We also study σ-locally uniformly rotund dual renormings in connection with σ-countable dual dentability indices.
  • Keywords
    Uniformly Gâteaux smooth norms , Uniform Eberlein compacts , ‎weak compactness , Dentability indices
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2009
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1559527