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

sažetak izlaganja sa skupa

sažetak izlaganja sa skupa

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

Vrsta prilog sa skupa (u zborniku)
Tip sažetak izlaganja sa skupa
Godina 2006
Nadređena publikacija Third International Conference of applied Mathematics
Stranice str. 23-23
Status objavljeno

Sažetak

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.

Ključne riječi

C*-algebra ; pre-Hilbert C*-module ; numerical range ; triangle inequality ; Pythagoras' equality