This is an announcement for the paper “Open problems in Banach spaces and measure theory” by Jose Rodriguezhttp://arxiv.org/find/math/1/au:+Rodriguez_J/0/1/0/all/0/1.
Abstract: 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 $L_p$ spaces, compactness in Banach spaces, $w^*$-null sequences in dual spaces), measurability in Banach spaces (Baire and Borel $\sigma$-algebras, measurable selectors), vector integration (Riemann, Pettis and McShane integrals), vector measures (range and associated $L_1$ spaces) and Lebesgue-Bochner spaces (topological and structural properties, scalar convergence)..
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1607.07787