Aron-Berner extensions of almost Dunford-Pettis multilinear operators

We prove several results establishing conditions on the Banach lattices E_1,…, E_m and F so that the Aron-Berner extensions of (separately) almost Dunford-Pettis m-linear operators from E_1 x … x E_m to F are (separately) almost Dunford-Pettis. Illustrative examples are provided.