Another characterization of orthogonality in Hilbert C*-modules

izvorni znanstveni rad

izvorni znanstveni rad

Another characterization of orthogonality in Hilbert C*-modules

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2019
Časopis Mathematical inequalities & applications
Volumen 22
Svesčić 4
Stranice str. 1421-1426
DOI 10.7153/mia-2019-22-99
ISSN 1331-4343
EISSN 1848-9966
Status objavljeno

Sažetak

We discuss a certain relation related to the Roberts orthogonality in Hilbert C*-modules which turns out to be equivalent to the orthogonality with respect to the C*-valued inner product. We also describe Hilbert C*-modules in which the Birkhoff-James orthogonality coincides with the Roberts orthogonality.

Ključne riječi

Hilbert C*-module ; Roberts orthogonality ; Birkhoff-James orthogonality ; inner product orthogonality