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 ...
Calabuig, J. M.; Rodriguez, J.; Sánchez Pérez, Enrique Alfonso(John Wiley & Sons, 2017)
[EN] We show a picture of the relations among different types of summability of series in the space L-1(m) of integrable functions with respect to a vector measure m of relatively norm compact range. In order to do that, ...
Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Springer Verlag, 2016-03)
We provide a tensor product representation of Kothe-Bochner function spaces of vector valued integrable functions. As an application, we show that the dual space of a Kothe-Bochner function space can be understood as a ...
Ferrando Palomares, Irene(Universitat Politècnica de València, 2012-01-10)
The objective of this memoir is the study of a particular class of operators
defined on the spaces of p-integrable functions with respect to a vector
measure.
[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 ...
Juan Blanco, María Aránzazu(Editorial Universitat Politècnica de València, 2011-07-26)
El espacio de funciones integrables con respecto a una medida vectorial, amén de interesante en si mismo, sirve de herramienta para aplicaciones en problemas importantes como la representación integral y el estudio del ...
[EN] Consider a positive Banach lattice valued vector measure m : Σ → X, its space of 2-integrable functions L2 (m) and a sequence S in it. We analyze the notion of weak m-orthogonality for such an S in these spaces and ...
[EN] We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces associated to an N-function Phi and a (quasi-) Banach function space X over a positive finite ...