Abstract
We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
Authors partially supported by the Spanish Ministry of Economy and Competitiveness, D.G.I. project no. MTM2011-23843, and Junta de Andalucía grants FQM0199 and FQM3737. The first author was partially supported by a Grant from the GENIL-YTR program.
†To Professor Juan Martinez on the occasion of his retirement.
Notes
Communicated by A. Elduque.