2-Local triple derivations on von Neumann algebras

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 of all triple derivations on M is algebraically 2-reflexive in the set of all mappings from M into M.

(This paper has appeared in Illinois J. Math 58 (2014) 1055-1069)

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K. Kudaybergenov < karim2006@mail.ru >

T. Oikhberg < oikhberg@illinois.edu >

A.M. Peralta < aperalta@ugr.es >

B. Russo < brusso@uci.edu >