Some extremal properties of section spaces of Banach bundles and their duals (Q1607885)

Let \(X\) denote a compact Hausdorff space and \(\Gamma(\pi)\) the space of sections \((\Gamma(\pi)\) is a Banach \(C(X)\)-module under the sup norm). In the present paper, the author studies some extremal results on the space of sections \(\Gamma(\pi)\) and its dual \(\Gamma(\pi)^*\) for a real Banach bundle \(\pi:{\mathcal E}\to X\).