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Listar por palabra clave "Vector measure"

Mostrando ítems 1-20 de 28

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A Komlós Theorem for abstract Banach latticesof measurable functions

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 ...
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 ...
Compactness in L1 of a vector measure

Calabuig Rodriguez, Jose Manuel; Lajara, S.; Rodríguez Ruiz, José; Sánchez Pérez, Enrique Alfonso (Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2014)

We study compactness and related topological properties in the space L1(m) of a Banach space valued measure m when the natural topologies associated to convergence of vector valued integrals are considered. The resulting ...
Compactness in spaces of p-integrable functions with respect to a vector measure

Rueda Segado, Maria Pilar; Sánchez Pérez, Enrique Alfonso (JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2015-06)

[EN] We prove that, under some reasonable requirements, the unit balls of the spaces Lp(m) and Loo(m) of a vector measure of compact range m are compact with respect to the topology t_m of pointwise convergence of the ...
Factorization of operators through subspaces of L-1-spaces

Calabuig, J. M.; Rodríguez, José; Sánchez Pérez, Enrique Alfonso (Cambridge University Press, 2017-12)

[EN] We analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we ...
Interpolation of Vector Measures

Del Campo Acosta, Ricardo; Fernández Carrión, Antonio; Mayoral, Fernando; Naranjo, Francisco; Sánchez Pérez, Enrique Alfonso (Springer Verlag, 2011)

[EN] Let (Omega, Sigma) be a measurable space and m(0) : Sigma -> X-0 and m(1) : Sigma -> X-1 be positive vector measures with values in the Banach Kothe function spaces X-0 and X-1. If 0 < alpha < 1, we define a new vector ...
Interpolation subspaces of L^1 of a vector measure and norminequalities for the integration operator

Calabuig Rodriguez, Jose Manuel; Rodríguez Ruiz, José; Sánchez Pérez, Enrique Alfonso (American Mathematical Society, 2012)

[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 ...
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 c(0) and l infinity in spaces of integrable functions for a vector measure

Okada, S.; Ricker, W. J.; Sánchez Pérez, Enrique Alfonso (Polish Academy od Sciences. Institute of Matematics, 2014)

The spaces L1(m) of all m-integrable (resp. L1w(m) of all scalarly m-integrable) functions for a vector measure m, taking values in a complex locally convex Hausdorff space X (briefly, lcHs), are themselves lcHs for the ...
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 ...
Lorentz spaces of vector measures and real interpolation of operators

del Campo, R.; Fernández, A.; Mayoral, F.; Naranjo, F.; Sánchez Pérez, Enrique Alfonso (Informa UK (National Inquiry Services Center), 2020-08-03)

[EN] Using the representation of the real interpolation of spaces of p-integrable functions with respect to a vector measure, we show new factorization theorems for p-th power factorable operators acting in interpolation ...
Maximal Factorization of Operators Acting in Kothe-Bochner Spaces

Calabuig, J. M.; Fernández-Unzueta, M.; Galaz-Fontes, F.; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2021-01)

[EN] Using some representation results for Kothe-Bochner spaces of vector valued functions by means of vector measures, we analyze the maximal extension for some classes of linear operators acting in these spaces. A ...
On Schachermayer and Valdivia results in algebras of Jordan measurable sets

López Alfonso, Salvador (Springer-Verlag, 2016)

[EN] A subset B of a set-algebra A has property N if each B-pointwise bounded subset M of bounded measures of bounded variation is A -uniformly bounded. Each σ-algebra has property N and there exists algebras which ...
On the smoothness of L p of a positive vector measure

Agud Albesa, Lucia; Calabuig Rodriguez, Jose Manuel; Sánchez Pérez, Enrique Alfonso (Springer Verlag (Germany), 2015-11)

We investigate natural sufficient conditions for a space L p(m) of pintegrable functions with respect to a positive vector measure to be smooth. Under some assumptions on the representation of the dual space of such a ...
On Valdivia strong version of Nikodym boundedness property

Kakol, Jerzy; López Pellicer, Manuel (Elsevier, 2017)

[EN] Following Schachermayer, a subset B of an algebra A of subsets of Ω is said to have the N-property if a B-pointwise bounded subset Mof ba(A)is uniformly bounded on A, where ba(A) is the Banach space of the real ...
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 ...
Optimal range theorems for operators with p-TH power factorable adjoints

GALDAMES BRAVO, ORLANDO; Sánchez Pérez, Enrique Alfonso (Tusi Mathematical Research Group, 2012)

[EN] Consider an operator T : E → X(µ) from a Banach space E to a Banach function space X(µ) over a finite measure µ such that its dual map is p-th power factorable. We compute the optimal range of T that is defined to ...
Product spaces generated by bilinear maps and duality

Sánchez Pérez, Enrique Alfonso (Akademie věd České republiky, Matematický ústav, 2015)

In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication ...
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 ...
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 ...