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Listar por palabra clave "Banach lattice"

Mostrando ítems 1-17 de 17

(p,q)-Regular operators between Banach lattices

Sánchez Pérez, Enrique Alfonso; Tradacete Pérez, Pedro (Springer-Verlag, 2019-02)

[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 ...
Banach lattice sums with hereditary Fatou properties

Mastylo, Mieczyslaw; Sánchez Pérez, Enrique Alfonso (2014)

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 ...
Extension procedures for lattice Lipschitz operators on Euclidean spaces

Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2023-04)

[EN] We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and Whitney formulas provide the same extension result that holds for ...
Factorization through Lorentz spaces for operators acting in Banach function spaces

Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2019-02)

[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 ...
Kothe dual of Banach lattices generated by vector measures

Mastylo, Mieczyslaw; Sánchez Pérez, Enrique Alfonso (Springer Verlag (Germany), 2014-04)

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 ...
Lattice copies of l(2) in L-1 of a vector measure and strongly orthogonal sequences

Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso (Hindawi Publishing Corporation, 2012)

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 ...
Maurey-Rosenthal domination for abstract Banach lattices

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 ...
Maurey-Rosenthal factorization for p-Summing operators and Dodds-Fremlin domination

Palazuelos, Carlos; Sánchez Pérez, Enrique Alfonso; Tradacete Pérez, Pedro (THETA FOUNDATION, 2012)

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 ...
On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring

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 ...
On vector measures with values in L (infinity)

Okada, Susumu; Rodríguez, J.; Sánchez Pérez, Enrique Alfonso (Institute of Mathematics, Polish Academy of Sciences, 2024)

[EN] We study some aspects of countably additive vector measures with values in l(infinity) and the Banach lattices of real-valued functions that are integrable with respect to such a vector measure. On the one hand, we ...
Pietsch-Maurey-Rosenthal factorization of summing multilinear operators

Mastylo, Mieczyslaw; Sánchez Pérez, Enrique Alfonso (Adam Mickiewicz University, 2018-09)

[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 ...
Regular methods of summability and the weak sigma-Fatou property in abstract Banach lattices of integrable functions

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 ...
Representation and factorization theorems for almost-L-p-spaces

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 ...
Spaces of p-integrable functions with respect to a vector measure defined on a delta-ring

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 ...
The Köthe Dual of an Abstract Banach Lattice

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 ...
Vector measures on delta-rings and representation theorems of banach lattices

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 ...
Weakly compactly generated Banach lattices

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 ...