For a Banach space E and its bidual space E'', the function k(H) defined on bounded
subsets H of E measures how far H is from being σ(E,E')-relatively compact in E. This concept, introduced independently by Granero, ...
Bartsch, René; Poppe, Harry(Universitat Politècnica de València, 2003-10-01)
[EN] Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals ...
Moreno, Samuel G.; Almira, Jose María; García-Caballero, Esther M.; Quesada, J.M.(Universitat Politècnica de València, 2004-04-01)
[EN] The main goal of this paper is to put some light in several arguments that have been used through the time in many contexts of Best Approximation Theory to produce proximinality results. In all these works, the main ...
Prósper Ortega, Laura(Universitat Politècnica de València, 2018-09-18)
[ES] El conocimiento de los genes clave que afectan al desarrollo de las plantas
y su interacción con agentes externos es un aspecto muy importante, tanto a efectos
básicos como aplicados. Para abordar la identificación ...
[EN] In this paper we survey some concepts of convergence and Cauchyness appeared separately in the context of fuzzy metric spaces in the sense of George and Veeramani. For each convergence (Cauchyness) concept we find a ...
[EN] In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a complete geometric ...
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 ...
[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 ...
Garcia-Raffi, L. M.; Sánchez-Pérez, E.A.(Universitat Politècnica de València, 2005-10-01)
[EN] Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach ...
García-Escudero, Daniel; Bardí i Milà, Berta(Universitat Politècnica de València, 2015-12-29)
[EN] The SOL89 office, formed by María González and Juanjo López de la Cruz, is where they have been carrying out their professional activity since the year 2000, once they had completed their studies at the School of ...
[EN] We characterize the ¿nite dimensional asymmetric normed spaces which are right bounded and the relation of this property with the natural compactness properties of the unit ball, such as compactness and strong ...
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 ...
[EN] When a compact city is pursued as the strategy for urban sustainability the understanding of compactness is varied from the developed countries to the developing countries. In China the historical cities are characterized ...
Tirado Peláez, Pedro(University of Sistan and Baluchestan, 2012-11)
[EN] In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec introduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Banach´s ...
Rodríguez López, Jesús; Sanchez Granero, Miguel Angel(Elsevier, 2011-01-01)
We study some basic properties of the so-called bornological convergences in the realm of quasi-uniform spaces. In particular, we revisit the results about when these convergences are topological by means of the use of ...