On three concepts of orthogonality in Hilbert C*- modules

izvorni znanstveni rad

izvorni znanstveni rad

On three concepts of orthogonality in Hilbert C*- modules

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2015
Časopis Linear and multilinear algebra
Volumen 63
Svesčić 7
Stranice str. 1485-1500
DOI 10.1080/03081087.2014.947983
ISSN 0308-1087
EISSN 1563-5139
Status objavljeno

Sažetak

In this paper we consider three concepts of orthogonality in a Hilbert C*-module V over a C*- algebra A: the Birkhoff-James orthogonality, the strong Birkhoff-James orthogonality, and the orthogonality with respect to the A-valued inner product on V. We characterize the classes of Hilbert C*-modules in which any two of them coincide.

Ključne riječi

Hilbert C*-modules ; inner product orthogonality ; Birkhoff-James orthogonality ; strong Birkhoff-James orthogonality