On preservers of strong Birkhoff-James orthogonality between $C^*$-algebras
Operator Algebras
2025-10-29 v1
Abstract
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 extension of this result to the non-unital case, the form of (possibly nonlinear) strong Birkhoff-James isomorphisms between compact -algebras are determined. A nonlinear characterization of compact -algebras in terms of strong Birkhoff-James orthogonality is also given.
Keywords
Cite
@article{arxiv.2510.24308,
title = {On preservers of strong Birkhoff-James orthogonality between $C^*$-algebras},
author = {Bojan Kuzma and Srdjan Stefanović and Ryotaro Tanaka},
journal= {arXiv preprint arXiv:2510.24308},
year = {2025}
}