4 papers
Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional -algebras
Bojan Kuzma, Srdjan Stefanović
We describe additive surjections on direct sum of matrix algebras that preserve singularity in one direction. As an application, we classify additive surjections on finite-dimensio…
On preservers of strong Birkhoff-James orthogonality between -algebras
Bojan Kuzma, Srdjan Stefanović, Ryotaro Tanaka
It is shown that every linear strong Birkhoff-James isomorphism between unital -algebras is a -isomorphism followed by a unitary multiplication. Moreover, as a partial exte…
Isomorphisms of Birkhoff-James orthogonality on finite-dimensional -algebra
Bojan Kuzma, Srdjan Stefanović
We classify bijective maps which strongly preserve Birkhoff-James orthogonality on a finite-dimensional complex -algebra. It is shown that those maps are close to being real-l…
Diameter of the -orthograph in finite dimensional -algebras
Srdjan Stefanović
We determine the exact diameter of the orthograph related to mutual strong Birkhoff-James orthogonality in arbitrary finite dimensional -algebra. Additionally, we will estim…