[EN] We study the class of (p,q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some ...
We present a characterization of Banach function lattices with the Fatou property
generated by the interpolation sum applied to infinite families of Banach lattices with the Fatou
property. We also discuss the Köthe ...
[EN] We show a factorization through Lorentz spaces for Banach-space-valued operators defined in Banach function spaces. Although our results are inspired in the classical factorization theorem for operators from Ls-spaces ...
We study the Kothe dual spaces of Banach function lattices generated by abstract methods having roots in the theory of interpolation spaces. We apply these results to Banach spaces of integrable functions with respect to ...
Let m be an l(2)-valued (countably additive) vector measure and consider the space L-2(m) of square integrable functions with respect to m. The integral with respect to m allows to define several notions of orthogonal ...
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 ...
We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from anLr-space to an Ls-space. As an application, we prove a domination result in the sense of ...
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 ...
[EN] The main purpose of this paper is the study of a new class of summing mul-tilinear operators acting from the product of Banach lattices with some nontrivial lattice convexity. A mixed Pietsch-Maurey-Rosenthal type ...
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 ...
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 ...
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 ...