On preservers of strong Birkhoff-James orthogonality between $C^{\ast }$-algebras

Bojan Kuzma, Srdjan Stefanović, Ryotaro Tanaka

It is shown that every linear strong Birkhoff-James isomorphism between unital $C^{\ast }$-algebras is a $\ast$-isomorphism followed by a unitary multiplication. Moreover, as a partial exte…