Weakly compact orthogonality preservers on C\(^*\)-algebras (Q415500)

Elements \(a\) and \(b\) from a \(C^*\)-algebra are said to be orthogonal if \(ab^* = b^*a=0\). An operator \(T\) between \(C^*\)-algebras is said to be orthogonality preserving if \(T(a)\) and \(T(b)\) are orthogonal whenever \(a\) and \(b\) are orthogonal. The main result of the present paper describes the form of a weakly compact orthogonality preserving operator \(T\) between \(C^*\)-algebras (or \(JB^*\)-triples).