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2-local triple derivations on von Neumann algebras (1407.3878v1)
Published 15 Jul 2014 in math.OA
Abstract: We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local triple derivation on a von Neumann algebra $M$ is a triple derivation, equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ is algebraically 2-reflexive in the set $\mathcal{M}(M)= MM$ of all mappings from $M$ into $M$.
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