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Listar por palabra clave "Banach function space"

Mostrando ítems 1-20 de 24

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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 ...
Absolutely continuous multilinear operators

Dahia, E.; Achour, D.; Sánchez Pérez, Enrique Alfonso (Elsevier, 2013-01)

We introduce the new class of the (p;p1,...,pm; s)-absolutely continuous operators, that is defined using a summability property that provides the multilinear version of the (p, s)-absolutely continuous operators. We give ...
Banach Lattice Structures and Concavifications in Banach Spaces

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 ...
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 ...
Completability and optimal factorization norms in tensor products of Banach function spaces

Calabuig, J. M.; Fernández-Unzueta, M.; Galaz-Fontes, F.; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2019-10)

[EN] Given s-finite measure spaces ( 1, 1, mu 1) and ( 2, 2, mu 2), we consider Banach spaces X1(mu 1) and X2(mu 2), consisting of L0(mu 1) and L0(mu 2) measurable functions respectively, and study when the completion of ...
Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property

Agud Albesa, Lucia; Calabuig, J. M.; Lajara, Sebastian; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2017-07)

[EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach ...
Duality theory for p-th power factorable operators and kernel operators

Galdames Bravo, Orlando Eduardo (Universitat Politècnica de València, 2013-07-29)

El presente trabajo está dedicado al análisis de una clase particular de operadores (lineales y continuos) entre espacios de Banach de funciones. El objetivo es avanzar en la teoría de los llamados operadores factorizables ...
Equivalent norms in a banach function space and the subsequence property

Calabuig, J. M.; Fernández-Unzueta, Maite; Galaz-Fontes, Fernando; Sánchez Pérez, Enrique Alfonso (The Korean Mathematical Society, 2019-09)

[EN] Consider a finite measure space (Omega, Sigma, mu) and a Banach space X(mu) consisting of (equivalence classes of) real measurable functions defined on Omega such that f chi(A) is an element of X(mu) and parallel to ...
Erratum to: Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1 <= p <= q

Delgado Garrido, Olvido; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2017-03)

[EN] Let X be a saturated Banach function space and denote by X' its Kothe dual. In the paper (Delgado and Sanchez Perez in Positivity 20: 999-1014, 2016) referenced in the title it is implicitly used that the closed unit ...
EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES

Cavalcante, Wasthenny, V.; Rueda, Pilar; Sánchez Pérez, Enrique Alfonso (Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 2021-03)

[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere ...
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 ...
Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators

Rueda, Pilar; Sánchez Pérez, Enrique Alfonso (Springer Verlag (Germany), 2015-02)

[EN] In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, ...
Factorizing Kernel Operators

Galdames, O.; Sánchez Pérez, Enrique Alfonso (Springer Verlag (Germany), 2013-01)

Consider an operator T : X--->Y between Banach function spaces having adequate order continuity and Fatou properties. Assume that T can be factorized through a Banach space as T =SR, where R and the adjoint of S are ...
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 ...
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 ...
Optimal extensions of compactness properties for operators on Banach function spaces

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 ...
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 ...
p-Regularity and Weights for Operators Between L-p-Spaces

Sánchez Pérez, Enrique Alfonso; Tradacete, Pedro (European Mathematical Society Publishing House, 2020)

[EN] We explore the connection between p-regular operators on Banach function spaces and weighted p-estimates. In particular, our results focus on the following problem. Given finite measure spaces mu and nu, let T be an ...
Strong Factorizations between Couples of Operators on Banach Function Spaces

Delgado Garrido, Olvido; Sánchez Pérez, Enrique Alfonso (Heldermann Verlag, 2013)

[EN] Let T : X1 --> Y1 and S : X2 --> Y2 be two continuous linear operators between Banach function spaces related to a finite measure space. Under some lattice requirements on the spaces involved, we give characterizations ...