Resumen de Critically large entropy of absolutely convex hulls in Banach spaces of type p
Given a precompact subset A of a Banach space of type p, we investigate and quantify in which way the rate of decay of the entropy numbers of A affects the rate of decay of the entropy numbers of the real absolutely convex hull of A. This problem has been studied by various researchers in different settings during the last 25 years. We get new and best possible results both in the case of logarithmic decay of entropy numbers of A and in the case that the entropy numbers of A belong to some Lorentz sequence space making a major step to completing the picture.
