Linear orthogonality preservers of Hilbert $C^{\ast }$-modules over $C^{\ast }$-algebras with real rank zero

C. W. Leung, C. K. Ng, N. C. Wong

Let $A$ be a $C^{\ast }$-algebra. Let $E$ and $F$ be Hilbert $A$-modules with $E$ being full. Suppose that $\theta :E\to F$ is a linear map preserving orthogonality, i.e., $<\theta (x),\theta (y)>=0$…