Local triple derivations on C*-algebras and JB*-triples
Functional Analysis
2017-05-17 v2 Operator Algebras
Abstract
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. In particular every local triple derivation on a C-algebra is a triple derivation. We also explore the connections between (bounded local) triple derivations and generalised (Jordan) derivations on a C-algebra.
Keywords
Cite
@article{arxiv.1303.4569,
title = {Local triple derivations on C*-algebras and JB*-triples},
author = {María Burgos and Francisco J. Fernández-Polo and Antonio M. Peralta},
journal= {arXiv preprint arXiv:1303.4569},
year = {2017}
}