Article ID Journal Published Year Pages File Type
4620522 Journal of Mathematical Analysis and Applications 2009 8 Pages PDF
Abstract

A local dual of a Banach space X is a closed subspace of X∗ that satisfies the properties that the principle of local reflexivity assigns to X as a subspace of X∗∗. We show that, for every ordinal 1⩽α⩽ω1, the spaces Bα[0,1] of bounded Baire functions of class α are local dual spaces of the space M[0,1] of all Borel measures. As a consequence, we derive that each annihilator Bα⊥[0,1] is the kernel of a norm-one projection.

Related Topics
Physical Sciences and Engineering Mathematics Analysis