Local triple derivations on C∗-algebras and JB∗-triples
Maria BurgosDepartamento de Matematicas, Facultad de Ciencias Sociales y de la Educacion, Universidad de Cádiz, 11405 Jerez de la Frontera, Spain, [email protected]Francisco J. Fernández-PoloDepartamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, [email protected]Antonio M. PeraltaDepartamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, [email protected]
2014en
ABI
Аннотация
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. These results provide positive answers to the conjectures posed by Mackey (Bull. London Math. Soc. 45 (2013) 811–824). 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 generalized (Jordan) derivations on a C∗-algebra.
Перевод пока недоступен
Идентификаторы
Цитирования и источники
Цитирований: 3Использованных источников: 0