Local triple derivations on real C∗-algebras and JB∗-triples
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URI: http://hdl.handle.net/10835/15745
DOI: https://doi.org/10.1007/s40840-015-0203-4
DOI: https://doi.org/10.1007/s40840-015-0203-4
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2015-08-07Resumen
We study when a local triple derivation on a real JB∗-triple is a triple derivation. We find an example of a (real linear) local triple derivation on a rank-one Cartan factor of type I which is not a triple derivation. On the other hand, we find sufficient conditions on a real JB∗-triple E to guarantee that every local triple derivation on E is a triple derivation.