We study several properties and applications of the ultrapower MU of a metric space M. We
prove that the Lipschitz-free space F (MU) is finitely representable in F (M). We also …

We define two metrics d1, α and d∞, α on each Schreier family Sα, α< ω1, with which we
prove the following metric characterization of the reflexivity of a Banach space X: X is …

El principal objetivo de esta tesis fue el estudio de la super compacidad débil, la cual
corresponde a versión la localizada de la superreflexividad. Esta noción está fuertemente …

We give a simple example of a countable metric graph M such that M Lipschitz embeds with
distortion strictly less than 2 into a Banach space X only if X contains an isomorphic copy of l …

Like differentiability, convexity of functions has proven to be a very useful tool to characterize
various classes of Banach spaces. We have also known that good progress has been made …