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Listar por autor "Delgado Garrido, Olvido"

Mostrando ítems 1-9 de 9

Choquet type L-1-spaces of a vector capacity

Delgado Garrido, Olvido; Sánchez Pérez, Enrique Alfonso (Elsevier, 2017-11-15)

[EN] Given a set function Lambda with values in a Banach space X, we construct an integration theory for scalar functions with respect to Lambda by using duality on Xand Choquet scalar integrals. Our construction extends ...
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 ...
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 ...
Optimal Extensions for pth Power Factorable Operators

Delgado Garrido, Olvido; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2016-12)

[EN] Let be a function space related to a measure space with and let be a Banach space-valued operator. It is known that if T is pth power factorable then the largest function space to which T can be extended preserving ...
Power concave operators and representation of p-convex and q-concave Banach lattices

Delgado Garrido, Olvido; Sánchez Pérez, Enrique Alfonso (Theta Foundation, 2017)

[EN] As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect 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, 2016-12)

[EN] Let and let X be a p-convex Banach function space over a -finite measure . We combine the structure of the spaces and for constructing the new space , where is a probability Radon measure on a certain compact set ...
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 ...
Strong Factorizations of Operators with Applications to Fourier and Cesaro Transforms

Delgado Garrido, Olvido; Mastylo, Mieczyslaw; Sánchez Pérez, Enrique Alfonso (Michigan Mathematical Journal, 2019)

[EN] Consider two continuous linear operators T: X-1 (mu) -> Y-1 (nu) and S: X-2 (mu) -> Y-2 (nu) between Banach function spaces related to different sigma-finite measures mu and nu. By means of weighted norm inequalities ...
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 ...