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On a relation related to strong Birkhoff–James orthogonality

izvorni znanstveni rad

izvorni znanstveni rad

On a relation related to strong Birkhoff–James orthogonality

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2022
Časopis Linear and multilinear algebra
Volumen 70
Svesčić 11
Stranice 2088, 2096
DOI 10.1080/03081087.2020.1784082
ISSN 0308-1087
EISSN 1563-5139
Status objavljeno

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 orthogonality ; linear preserver ; linear operator ; finite-dimensional Hilbert space