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Local triple derivations on C∗-algebras and JB∗-triples

Local triple derivations on C∗-algebras and JB∗-triples

In a first result, we prove that every continuous local triple derivation on a JB∗-triple is a triple derivation. We also give an automatic continuity result, that is, we show that local triple derivations on a JB∗-triple are continuous even if not assumed a priori to be so. These results …