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arXiv · 1407.3878

2-local triple derivations on von Neumann algebras

Karimbergen Kudaybergenov·Timur Oikhberg·Antonio M. Peralta·Bernard Russo
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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 $\mathcal{M}(M)= M^M$ of all mappings from $M$ into $M$.

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Karimbergen Kudaybergenov, Timur Oikhberg, Antonio M. Peralta, Bernard Russo. 2014-07-15. 2-local triple derivations on von Neumann algebras. https://arxiv.org/abs/1407.3878

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