Abstract
We prove that every (not necessarily linear nor continuous) 2-local triple derivation on a von Neumann algebra $M$ is a triple derivation, equivalently, the set $\operatorname{Der}_{t}(M)$, of all triple derivations on $M$, is algebraically 2-reflexive in the set $\mathcal{M}(M)=M^{M}$ of all mappings from $M$ into $M$.
Citation
Karimbergen Kudaybergenov. Timur Oikhberg. Antonio M. Peralta. Bernard Russo. "2-local triple derivations on von Neumann algebras." Illinois J. Math. 58 (4) 1055 - 1069, Winter 2014. https://doi.org/10.1215/ijm/1446819301
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