izvorni znanstveni rad

On a relation related to strong Birkhoff–James orthogonality

Ljiljana Arambašić, Anđa Valent

Sažetak

In this paper, we discuss a version of Birkhoff– James orthogonality in the C*-algebra of all bounded linear operators on a finite-dimensional Hilbert space. We obtain a characterization of this relation and use it to describe some classes of operators. We also characterize linear preservers of this type of orthogonality.

Ključne riječi

(Strong) Birkhoff–James orthogonalitylinear preserverlinear operatorfinite-dimensional Hilbert space