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Listar por autor "Montesinos Santalucia, Vicente"

Mostrando ítems 1-20 de 25

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A note in approximative compactness and continuity of metric projections in Banach spaces

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente (Heldermann Verlag, 2011)

[EN] We give a counterexample to a recent statement in the metric approximation theory and provide a setting where the statement holds.
A note on extreme points of $C^\infty$-smooth balls in polyhedral spaces

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (American Mathematical Society, 2015)

[EN] Morris (1983) proved that every separable Banach space $X$ that contains an isomorphic copy of $c_0$ has an equivalent strictly convex norm such that all points of its unit sphere $S_X$ are unpreserved extreme, i.e., ...
A note on lower semicontinuous smooth norms

Guirao Sánchez, Antonio José; Lissitsin, A.; Montesinos Santalucia, Vicente (Springer-Verlag, 2019-07)

[EN] In Fabian et al. (Arch Math (Basel) 78(6):459-464, 2002) it was proved that, if a Valdivia compact space K has property P a property defined in terms of the Gateaux differentiability of certain norms on C(K)then, under ...
A note on Mackey topologies on Banach spaces

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Elsevier, 2017)

[EN] There is a maybe unexpected connection between three apparently unrelated notions concerning a given w*-dense subspace Y of the dual X* of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y, w*) ...
A note on the Mackey-star topology on a dual Banach space

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente (Springer-Verlag, 2015)

[EN] By using a result in Kirk (Pac J Math 45:543 554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic. This solves a question ...
A remark on totally smooth renormings

Cobollo, Ch.; Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente (Springer-Verlag, 2020-03-16)

[EN] E. Oja, T. Viil, andD. Werner showed, in Totally smooth renormings, Archiv der Mathematik, 112, 3, (2019), 269-281, that a weakly compactly generated Banach space ( X, center dot) with the property that every linear ...
Asplunds, yet again

Fabian, Marián; Montesinos, Vicente (Elsevier, 2024-01-15)

[EN] We present some partially new characterizations of Asplund spaces via Baire class one selectors. Sufficient conditions for Asplundness in terms of properties of duality mappings are also considered.(c) 2023 The Authors. ...
Compacta in Banach spaces

González Correa, Alma Lucía (Universitat Politècnica de València, 2010-05-24)

Capítulo 1. Después de estudiar algunos preliminares sobre familias adecuadas de conjuntos, formulamos y probamos algunas equivalencias, cada una de ellas son una condición suficiente para que la familia defina un conjunto ...
Completeness in the Mackey topology

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente (Springer Verlag, 2015-04)

Bonet and Cascales [Non-complete Mackey topologies on Banach spaces, Bulletin of the Australian Mathematical Society, 81, 3 (2010), 409-413], answering a question of M. Kunze and W. Arendt, gave an example of a norming ...
Diferenciabilidad en espacios de Banach

Benítez López, Julio (Universitat Politècnica de València, 2009-06-16)

Esta Tesis se centra en el estudio de la diferenciabilidad de Funciones definidas sobre subconjuntos de espacios de Banach, en especial se estudian las funciones convexas y continuas y más concretamente la norma. Se demuestra ...
Geometric properties and continuity of the pre-duality mapping in Banach space

Zhang, Z. H.; Montesinos Santalucia, Vicente; Liu, C. Y.; Gong, W. Z. (Springer, 2015-09)

We use the preduality mapping in proving characterizations of some geometric properties of Banach spaces. In particular, those include nearly strongly convexity, nearly uniform convexity-a property introduced by K. Goebel ...
Geometry and Gâteaux smoothness in separable Banach spaces

Hajek, P.; Montesinos Santalucia, Vicente; Zizler, Vaclav (2012-06)

[EN] It is a classical fact, due to Day, that every separable Banach space admits an equivalent Gateaux smooth renorming. In fact, it admits an equivalent uniformly Gateaux smooth norm, as was shown later by Day, James, ...
Lipschitz Structure of Metric and Banach Spaces

Quilis Sandemetrio, Andrés (Universitat Politècnica de València, 2023-12-04)

[ES] Desde el comienzo de la Teoría de Espacios de Banach, el estudio de los subespacios complementados y no complementados ha sido uno de los principales temas del área. Específicamente, en espacios de Banach no separables, ...
Notes on differentiability, norm-preserving extensions, and renormings in Banach spaces

Cobollo Gómez, Christian (Universitat Politècnica de València, 2020-10-26)

[ES] Renormar un espacio de Banach consiste en definir en él una norma que genere la misma topología. Dos normas que generan la misma topología se dice que son equivalentes. Se busca que la norma equivalente tenga mejores ...
On a classical renorming construction of V. Klee

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Elsevier, 2012-01-01)

We further develop a classical geometric construction of V. Klee and show, typically, that if X is a nonreflexive Banach space with separable dual, then X admits an equivalent norm vertical bar . vertical bar which is ...
On geometry of cones and some applications

Garcia Castano, F.; Melguizo Padial, M. A.; Montesinos Santalucia, Vicente (Elsevier, 2015-11-15)

In this work we prove that in any normed space, the origin is a denting point of a pointed cone if and only if it is a point of continuity for the cone and the closure of the cone in the bidual space with respect to the ...
Ranges of operators and Derivatives

Guirao Sánchez, Antonio José; Hájek, P.; Montesinos Santalucia, Vicente (Elsevier, 2010-07-01)

[EN] We show a unified method of proving the existence of C(1)-Frechet smooth and Lipschitz mappings which are surjective or whose range of the derivative contains the whole dual unit ball. As an application, under Martin's ...
Remarks on the set of norm-attaining functionals and differentiability

Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Institute of Mathematics, Polish Academy of Sciences, 2018)

[EN] We use the smooth variational principle and a standard renorming to give a short direct proof of the classical Bishop-Phelps-Bollobas theorem on the density of norm-attaining functionals for weakly compactly generated ...
Solving singular convolution equations using the inverse fast Fourier transform

Krajnik, Eduard; Montesinos Santalucia, Vicente; Zizler, Peter; Zizler, Vaclav (Akademie věd České republiky, Matematický ústav, 2012-10)

The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular ...
Some compactness criteria in locally convex and banach spaces

Monterde Pérez, Ignacio (Universitat Politècnica de València, 2012-01-27)

Chapter 1 We study different classes of compact sets. In particular, the class of convex-compact sets is analyzed in depth. Using these classes of sets, we provide compactness criteria by checking on a quite relaxed set ...