Abstract
Let be a non-trivial nest in an arbitrary factor
. We prove that every additive 2-local Lie derivation
from nest subalgebra
into
can be written in the form
for all
, where T is an element in
and h is a linear functional vanishing on each commutator. We also provide an example to show the additivity of
is necessary.
AMS Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the author.