The structure and ideal theory of the predual of a Banach lattice
The structure and ideal theory of the predual of a Banach lattice
Introduction.If V is an ordered Banach space over the real field, then the Banach dual V* has a natural induced partial ordering.In Theorems 3.1 and 3.2 we present necessary and sufficient conditions for V* to be a Banach lattice, extending partial results obtained by Choquet [5] and Andô [1].The theorems …