On the C*-valued triangle equality and inequality in Hilbert C*-modules

izvorni znanstveni rad

izvorni znanstveni rad

On the C*-valued triangle equality and inequality in Hilbert C*-modules

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2008
Časopis Acta mathematica Hungarica
Nadređena publikacija Acta mathematica Hungarica
Volumen 119
Svesčić 4
Stranice str. 373-380
DOI 10.1007/s10474-007-7055-9
ISSN 0236-5294
EISSN 1588-2632
Status objavljeno

Sažetak

We prove that for two elements x, y in a Hilbert A-module V the triangle equality |x+y|=|x|+|y| holds if and only if the inner product of x and y is equal to |x||y|. In addition, we establish some kind of a C*-valued triangle inequality in a Hilbert C*-module over a unital C*-algebra.

Ključne riječi

C*-algebra ; Hilbert C*-module ; linking algebra ; C*-valued triangle (in)equality