Weak-local triple derivations on C*-algebras and JB*-triples
Burgos, M. J. · Cabello, J. C. · Peralta, A. M.
Original · EN
We prove that every weak-local triple derivation on a JB*-triple E (i.e. a linear map T: E→ E such that for each ϕ∈ E* and each a∈ E, there exists a triple derivation δₐ,ϕ: E→ E, depending on ϕ and a, such that ϕT(a) = ϕδₐ,ϕ (a)) is a (continuous) triple derivation.
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