Examines nonlinear 2-local Lie centralizers in finite von Neumann algebras, indicating their structural behavior.
Let [Formula: see text] be a finite von Neumann algebra with no central summands of type [Formula: see text]. If [Formula: see text] is a nonlinear 2-local Lie [Formula: see text]-centralizer with [Formula: see text], then [Formula: see text] for all [Formula: see text], where [Formula: see text] and [Formula: see text] is a mapping which annihilates each [Formula: see text]-th commutator of [Formula: see text].
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Yang et al. (2026) studied this question.
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