3 papers
math.RA2026
Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional -algebras
Bojan Kuzma, Srdjan StefanoviÄ
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…
math.OA2025
On preservers of strong Birkhoff-James orthogonality between -algebras
Bojan Kuzma, Srdjan StefanoviÄ, 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…
math.OA2025
Isomorphisms of Birkhoff-James orthogonality on finite-dimensional -algebra
Bojan Kuzma, Srdjan StefanoviÄ
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…