Title
On Banach bundles and their spaces of sections
Abstract
In this talk, we present an overview of the recent developments regarding the spaces of p-integrable sections of measurable Banach bundles. In particular, we discuss their structural properties, such as duality and reflexivity. These spaces generalize classical Lebesgue-Bochner spaces L^p(m,B) and provide fiberwise representations of L^p-Banach L^∞-modules. The latter play an important role as a functional-analytic framework for differential calculus on metric measure spaces.
