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 ...
García-Raffi, L. M.; Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso(European Mathematical Society, 2013-06)
[EN] Sequences of real functions that are orthogonal with respect to a vector measure are
a natural generalization of the orthogonal systems with respect to a parametric measure. In this paper we develop a new procedure ...
Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso; Werner, Dirk(Institute of Mathematics, Polish Academy of Sciences, 2017-11-08)
[EN] We study whether or not the integration maps of vector measures can be
computed as pointwise limits of their finite rank Radon¿Nikodým derivatives. The positive
cases are obtained by using the circle of ideas related ...
[EN] There is increasing interest in the construction of composite indicators to benchmark units. However, the mathematical approach on which the most commonly used techniques are based does not allow benchmarking in a ...
[EN] We analyze the basic structure of certain metric models, which are constituted by an index I acting on a metric space (D, d) representing a relevant property of the elements of D. We call such a structure (D, d; I) ...
Let m be an l(2)-valued (countably additive) vector measure and consider the space L-2(m) of square integrable functions with respect to m. The integral with respect to m allows to define several notions of orthogonal ...
[EN] We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical ...
Calabuig, J. M.; Jiménez-Fernández, E.; Sánchez Pérez, Enrique Alfonso; Manzanares, S.(MDPI AG, 2021-12)
[EN] One of the main challenges posed by the healthcare crisis generated by COVID-19 is to avoid hospital collapse. The occupation of hospital beds by patients diagnosed by COVID-19 implies the diversion or suspension of ...
[EN] We present a classroom task that consists to model the path of the road between two paraboloid surfaces. The purpose of this paper is to teach the differential calculus using mathematical modeling as a teaching tool. ...
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 ...
Jiménez Fernández, Eduardo; Juan Blanco, María Aranzazu; Sánchez Pérez, Enrique Alfonso(Belgian Mathematical Society, 2018)
[EN] Consider an abstract Banach lattice. Under some mild assumptions, it can be identi¿ed with a Banach ideal of integrable functions with respect to a (non necessarily ¿-¿nite) vector measure on a ¿-ring. Extending some ...
[EN] University rankings are now relevant decision-making tools for both institutional and private purposes in the management of higher education and research. However, they are often computed only for a small set of ...
Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Springer Verlag, 2016-03)
We provide a tensor product representation of Kothe-Bochner function spaces of vector valued integrable functions. As an application, we show that the dual space of a Kothe-Bochner function space can be understood as a ...
Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Hindawi Publishing Corporation, 2013)
We analyze a suitable definition of Kothe dual for spaces of integrable functions with respect to vector measures defined on delta-rings.
This family represents a broad class of Banach lattices, and nowadays it seems to ...
[EN] Most public health agencies in regions or countries report the SARS-COV2 disease situation on a daily basis based on cases confirmed by various diagnostic tests. They also report other indicators such as deaths, ...
[EN] This study aims at developing a new methodological approach for building composite indicators, focusingon the weight schemes through an unsupervised machine learning technique. The composite indicatorproposed is based ...
Jiménez Fernández, Eduardo(Universitat Politècnica de València, 2011-12-02)
This doctoral thesis is devoted to the analysis of orthogonal sequences in subspaces of spaces L2(m) of square integrable functions with respect to a Banach space valued countably additive measure m. The motivation of our ...
[EN] Consider a positive Banach lattice valued vector measure m : Σ → X, its space of 2-integrable functions L2 (m) and a sequence S in it. We analyze the notion of weak m-orthogonality for such an S in these spaces and ...