Automatic continuity of biorthogonality preservers between weakly compact JB${}^{\ast }$-triples and atomic JBW${}^{\ast }$-triples

María Burgos, Jorge J. Garcés, Antonio M. Peralta

We prove that every biorthogonality preserving linear surjection from a weakly compact JB${}^{\ast }$triple containing no infinite dimensional rank-one summands onto another JB${}^{\ast }$-triple…