Local triple derivations on real C*-algebras and JB*-triples
Operator Algebras
2013-09-03 v1
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.
Keywords
Cite
@article{arxiv.1309.0367,
title = {Local triple derivations on real C*-algebras and JB*-triples},
author = {Francisco J. Fernández-Polo and Alexis Molino and Antonio M. Peralta},
journal= {arXiv preprint arXiv:1309.0367},
year = {2013}
}