Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Elsevier, 2011)
Consider a Banach function space X(mu) of (classes of) locally integrable functions over a sigma-finite measure space (Omega, Sigma, mu) with the weak sigma-Fatou property. Day and Lennard (2010) [9] proved that the theorem ...
Agud Albesa, Lucia; Calabuig, J. M.; Juan, Maria Aranzazu; Sánchez Pérez, Enrique Alfonso(MDPI AG, 2020-01)
[EN] Let (Omega,sigma,mu) be a finite measure space and consider a Banach function space Y(mu). We say that a Banach space E is representable by Y(mu) if there is a continuous bijection I:Y(mu)-> E. In this case, it is ...
Rodes-Carbonell, Ana María; Torregrosa-Valls, Juan; Guill Ibáñez, Antonio; Tormos Ferrando, Álvaro; Juan Blanco, María Aránzazu; Cebrián Ferriols, Antonio José(MDPI AG, 2021-04)
[EN] Long-term wounds need a continuous assessment of different biophysical parameters for their treatment, and there is a lack of affordable biocompatible devices capable of obtaining that uninterrupted flow of data. A ...
Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(SpringerOpen, 2013)
We extend the Maurey-Rosenthal theorem on integral domination and factorization
of p-concave operators from a p-convex Banach function space through Lp-spaces for
the case of operators on abstract p-convex Banach lattices ...
Calabuig Rodriguez, Jose Manuel; Delgado Garrido, Olvido; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Universitat de Barcelona, 2014-01)
We study some Banach lattice properties of the space L-w(1)(v) of weakly integrable functions with respect to a vector measure v defined on a delta-ring. Namely, we analyze order continuity, order density and Fatou type ...
Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Elsevier, 2016)
[EN] Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact ...
Jiménez Fernández, Eduardo; Juan Blanco, María Aranzazu; Sánchez Pérez, Enrique Alfonso(Belgian Mathematical Society, 2018)
[EN] Consider an abstract Banach lattice. Under some mild assumptions, it can be identi¿ed with a Banach ideal of integrable functions with respect to a (non necessarily ¿-¿nite) vector measure on a ¿-ring. Extending some ...
Calabuig, J. M.; Galdames, O.; JUAN BLANCO, MARÍA ARÁNZAZU; Sánchez Pérez, Enrique Alfonso(Elsevier, 2019-09)
[EN] We extend the notions of p-convexity and p-concavity for Banach ideals of measurable functions following an asymptotic procedure. We prove a representation theorem for the spaces satisfying both properties as the one ...
Calabuig Rodriguez, Jose Manuel; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(ELEMENT, 2012)
[EN] The lattice properties of the Banach lattices
Lp(m) and Lpw(m) of p-integrable real-valued functions and weakly p-integrable
real-valued functions with respect to a vector measure m defined on a delta-ring are ...
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 ...
Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Hindawi Publishing Corporation, 2013)
We analyze a suitable definition of Kothe dual for spaces of integrable functions with respect to vector measures defined on delta-rings.
This family represents a broad class of Banach lattices, and nowadays it seems to ...
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 ...