Boundedness of completely additive measures with application to 2-local triple derivations

Abstract

We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple derivation on a continuous JBW*-triple is a triple derivation.

30 pages

References in corpus (1)

• Decompositions of preduals of JBW and JBW${}^{\ast }$ algebras

Cited by in corpus (1)

• Two-Local derivations on associative and Jordan matrix rings over commutative rings