[EN] We show a Dvoretzky-Rogers type theorem for the adapted version of the q-summing operators to the topology of the convergence of the vector valued integrals on Banach function spaces. In the pursuit of this objective ...
Bernal-González, Luis; Calderón-Moreno, María del Carmen; Murillo Arcila, Marina; Prado-Bassas, José A.(Springer-Verlag, 2020-10-20)
[EN] In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Specifically, we study both topological and algebraic genericity ...