We collect several open questions in Banach spaces, mostly related to measure
theoretic aspects of the theory. The problems are divided into five categories:
miscellaneous problems in Banach spaces (non-separable Lp spaces,
compactness in Banach spaces, w∗-null sequences in dual spaces),
measurability in Banach spaces (Baire and Borel σ-algebras, measurable
selectors), vector integration (Riemann, Pettis and McShane integrals), vector
measures (range and associated L1 spaces) and Lebesgue-Bochner spaces
(topological and structural properties, scalar convergence)