Guirao Sánchez, Antonio José; Martínez-Cervantes, G.; Rodríguez Ruiz, José(Elsevier, 2019-10-15)
[EN] We study the class of Banach spaces X such that the locally convex space (X, mu(X,Y)) is complete for every norming and norm-closed subspace Y subset of X*, where mu(X, Y) denotes the Mackey topology on X associated ...
[EN] Let m be a Banach space valued measure. We study some domination
properties of the integration operator that are equivalent to the existence
of Banach ideals of L1(m) that are interpolation spaces. These ...
[EN] Let m be a vector measure taking values in a Banach space X. We prove that if the integration operator Im : L1(m) -> X, is completely continuous and X is Asplund, then m has finite variation and L1(|m|) = L1(m).
Let be a p-convex () order continuous Banach function space over a positive finite measure . We characterize the subspaces of which can be found simultaneously in and a suitable space, where is a positive finite measure ...
Avilés-López, Antonio; Guirao Sánchez, Antonio José; Lajara, Sebastian; Rodríguez Ruiz, José; Tradacete Pérez, Pedro(Institute of Mathematics, Polish Academy of Sciences, 2016)
[EN] We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of ...