Let be a completely regular Hausdorff space, let be a cover of , and let be a bundle of Banach spaces (algebras). Let be the space of sections of , and let be the subspace of consisting of sections which are bounded on each . We study the subspace (ideal) and quotient structures of some spaces of vector-valued functions which arise from endowing with the cover-strict topology.
"Cover-strict topologies, ideals, and quotients for some spaces of vector-valued functions." Banach J. Math. Anal. 10 (4) 783 - 799, October 2016. https://doi.org/10.1215/17358787-3649458