We give a general description of the dual of the pullback of a normed module. Ours is the natural generalisation to the context of modules of the well-known fact that the dual of the Lebesgue–Bochner space Lp([0, 1], B) consists—quite roughly said—of Lq maps from [0, 1] to the dual B′ of B equipped with the weak* topology. In order to state our result, we study various fibrewise descriptions of a normed module that are of independent interest.
