弱L^p的对偶空间的一个注记

A Note on the Dual of Weak L p

本文证明了非自反弱序列完备Ｂａｎａｃｈ格在它的二次对偶空间中的正交补是非自反的。

It is shown that the representation theorem on elements of the singular part of the dual of Weak L p obtained by Cwikel is incorrect by proving that the disjoint complement of a non reflexive weakly sequentially complete Banach lattice in its bidual is non reflexive.