  In the present paper we prove that every 2-local inner derivation on the Lie
ring of skew-symmetric matrices over a commutative ring is an inner derivation.
We also apply our technique to various Lie algebras of infinite dimensional
skew-adjoint matrix-valued maps on a set and prove that every 2-local spatial
derivation on such algebras is a spatial derivation.

Rings and Algebras;Operator Algebras