Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^*$-algebra
Operator Algebras
2025-02-13 v1 Functional Analysis
Abstract
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-linear isometries whose structure is also determined.
Cite
@article{arxiv.2502.07913,
title = {Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^*$-algebra},
author = {Bojan Kuzma and Srdjan Stefanović},
journal= {arXiv preprint arXiv:2502.07913},
year = {2025}
}