The Egoroff theorem for measurable ${\mathbb X}$-valued functions and operator-valued measures ${\mathbb m}: \Sigma \to L({\mathbb X}, {\mathbb Y})$ is proved, where $\Sigma$ is a $\sigma$-algebra of subsets of $T \neq \emptyset$ and ${\mathbb X}$, ${\mathbb Y}$ are both locally convex spaces.
Commun. Math. Anal.
18(2):
106-111
(2015).