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Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Polish Acad Sciencies Inst Mathematics | 2001It is studied when inclusions between rearrangement invariant function spaces on the interval [0, infinity) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions L 1[...]texto impreso
García del Amo Jiménez, Alejandro José ; Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | London Mathematical Society | 2000A linear operator between two Banach spaces X and Y is strictly-singular (or Kato) if it fails to be an isomorphism on any infinite dimensional subspace. A weaker notion for Banach lattices introduced in [8] is the following one: an operator T f[...]texto impreso
Pipkin, Allen C. ; Sánchez de los Reyes, Víctor Manuel | Society for Industrial and Applied Mathematics | 1974-01The theory of plane deformations of ideal fiber-reinforced composites involves hyperbolic equations, but boundary data are specified as in elliptic problems. When the surface tractions are given at every boundary point of a plane region, and thu[...]texto impreso
In this paper, we study the existence of infinite dimensional closed linear subspaces of a rearrangement invariant space on [0,1] every nonzero element of which does not belong to any included rearrangement invariant space of the same class such[...]texto impreso
Alba, Jesús ; Ramis Pedromingo, José ; Espinosa, Víctor ; Sánchez de los Reyes, Víctor Manuel | Universitat Politècnica de Catalunya | 2003En los sistemas de reproducción sonora es habitual la utilización de altavoces dinámicos. Sin embargo,en aplicaciones especí?cas, puede ser necesaria y/o conveniente la utilización de altavoces alternativos consuper?cies planas como diafragma, c[...]texto impreso
Azagra Rueda, Daniel ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. ; Sánchez de los Reyes, Víctor Manuel | Academic Press | 2009-06If f is continuous on the interval [a, b], g is Riemann integrable (resp. Lebesgue measurable) on the interval [alpha, beta] and g([alpha, beta]) subset of [a, b], then f o g is Riemann integrable (resp. measurable) on [alpha, beta]. A well-know[...]texto impreso
Sánchez de los Reyes, Víctor Manuel | Universidad Complutense de Madrid, Servicio de Publicaciones | 2002Esta tesis se encuadra en el estudio de la estructura de los espacios invariantes por reordenamiento o espacios simétricos. Esta clase importante de retículos de Banach engloba una gran variedad de espacios funcionales clásicos de la Teoría de O[...]texto impreso
Hernández, Francisco L. ; Ruiz Bermejo, César ; Sánchez de los Reyes, Víctor Manuel | Elsevier | 2015-11Let I1 and I2 be arbitrary operator ideals in the sense of Pietsch and E and F be Banach spaces such that the set I1(E,F){set minus}I2(E,F) is non-empty. We give a quite general sufficient condition on the Banach spaces in order to obtain the sp[...]texto impreso
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Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Elsevier | 2004-03-15Strict singularity and strict co-singularity of inclusions between symmetric sequence spaces are studied. Suitable conditions are provided involving the associated fundamental functions. The special case of Lorentz and Marcinkiewicz spaces is ch[...]texto impreso
Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. ; Hernández, Francisco L. | Interperiodica | 2005The paper deals with the strict singularity and the disjoint strict singularity of the canonical embedding between couples of rearrangement invariant spaces E and F. Let E c F. This embedding is called strictly singular (disjointly strictly sing[...]texto impreso
Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Springer | 2008-01It is given a complete characterization of the strict singularity and the disjoint strict singularity of the inclusions E ? L1 + L? for the class of rearrangement invariant function spaces E on the [0,?) interval. Their relationship is also anal[...]texto impreso
A Banach space X is subprojective if every infinite-dimensional subspace of X has a subspace which is complemented in X. We prove that separable Nakano sequence spaces l((pn)) are subprojective. Subprojectivity is also characterized in separable[...]texto impreso
There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F)\ I2(E, F[...]
