Order continuous operators on CD0(K,E) and CDw(K,E)-spaces

In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K,E) and CDw(K,E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we generalize their results to an arbitrary Dedekind complete Banach lattice F , that is to say, we characterize order continuous operators on these spaces taking values in an arbitrary Dedekind complete Banach lattice F .