Aron-Berner extensions of almost Dunford-Pettis multilinear operators

Abstract

We prove several results establishing conditions on the Banach lattices E1,..., Em and F so that the Aron-Berner extensions of (separately) almost Dunford-Pettis m-linear operators from E1 x ... x Em to F are (separately) almost Dunford-Pettis. Illustrative examples are provided.

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