engleski

On a relation related to strong Birkhoff–James orthogonality

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.

(Strong) Birkhoff–James orthogonality ; linear preserver ; linear operator ; finite-dimensional Hilbert space

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