@article{Rueda_Sánchez-Pérez_2015, title={Compactness in spaces of p-integrable functions with respect to a vector measure}, volume={45}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2015.030}, DOI={10.12775/TMNA.2015.030}, abstractNote={We prove that, under some reasonable requirements, the unit balls of the spaces $L^p(m)$ and $L^\infty(m)$ of a vector measure of compact range $m$ are compact with respect to the topology $\tau_m$ of pointwise convergence of the integrals. This result can be considered as a generalization of the classical Alaoglu Theorem to spaces of $p$-integrable functions with respect to vector measures with relatively compact range. Some applications to the analysis of the Saks spaces defined by the norm topology and $\tau_m$ are given.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Rueda, Pilar and Sánchez-Pérez, Enrique A.}, year={2015}, month={Jun.}, pages={641–653} }