Symétries isométriques, applications à la dualité des espaces réticulés
As given in his abstract, the author proves the following results. (i) If E is a non-reflexive Banach lattice, there exists for every n a dual of finite even order of E which contains isometrically \(\ell^ 1_ n.\) (ii) The analogous result for \(\ell_ n^{\infty}\) when E is not weakly sequentially compact. (iii) If E is a Banach lattice which is isometric to the dual of a Banach space X, then the order interval is \(\sigma\) (E,X)-compact. (iv) Under various conditions, a Banach lattice which is a dual as a Banach space, is a dual as a Banach lattice. For terminology, see [\textit{H. H. Schaefer}, Banach lattices and positive operators, (1974; Zbl 0296.47023)].
scientific article; zbMATH DE number 3853779
scientific article