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
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
Journal title :
Linear Algebra and its Applications
