• Title of article

    On some norm equalities in pre-Hilbert C*-modules

  • Author/Authors

    Ljiljana Aramba?i?، نويسنده , , Rajna Raji?، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    10
  • From page
    19
  • To page
    28
  • Abstract
    We characterize when the norm of the sum of two elements in a pre-Hilbert C*-module equals the sum of their norms. We also give the necessary and sufficient conditions for two orthogonal elements of a pre-Hilbert C*-module to satisfy Pythagoras’ equality.
  • Keywords
    Pre-Hilbert C*-module , C*-algebra , numerical range , Triangle inequality , Pythagoras’ equality
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2006
  • Journal title
    Linear Algebra and its Applications
  • Record number

    825081