Bidual extensions of Riesz multimorphisms (Q2109027)

The authors prove that all Arens extensions of finite rank Riesz multimorphisms coincide and present Riesz multimorphisms. Also, the authors distinguish a class of Banach lattices which includes, for instance, \(c_0\) and \(l_p\) with \( 1<p<+\infty\) such that all Aron-Berner extensions of each Riesz multimorphism ranging in a Banach lattice of the class are Riesz multimorphisms.