The Orlicz-Kantorovich symmetric space

The Orlicz-Kantorovich spaces ${{L}_{\Phi }}(B,m)$ associated with the complete Boolean algebra $B$, the Orlicz function $\Phi $ and the measure $m$ given on $B$ and taking values in the algebra of all measurable real functions are considered. It is shown, that ${{L}_{\Phi }}(B,m)$ is a symmetric Banach-Kantorovich space with the Fatou property.