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arXiv · 1309.0367

Local triple derivations on real C*-algebras and JB*-triples

Francisco J. Fernández-Polo·Alexis Molino·Antonio M. Peralta
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Abstract

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.

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Francisco J. Fernández-Polo, Alexis Molino, Antonio M. Peralta. 2013-09-02. Local triple derivations on real C*-algebras and JB*-triples. https://arxiv.org/abs/1309.0367

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