Some Extremal Properties of Section Spaces of Banach Bundles and Their Duals, II

Abstract

Let π : E → X be a real Banach bundle with section space Γ(π), where X is a compact Hausdorff space. We complete the characterization of weak-* and sequential weak-* points of continuity in the unit ball of Γ(π) ∗ for certain classes of bundles (which include the trivial ones), which was begun in an earlier paper. The proofs avoid the use of vector measures.