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
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