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[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 factorization result is provided, and a specific representation of the biggest vector valued function space to which the operator can be extended is given. Thus, we present a generalization of the optimal domain theorem for some types of operators on Banach function spaces involving domination inequalities and compactness. In particular, we show that an operator acting in Bochner spaces of p-integrable functions for any 1

[EN] Countries are recording health information on the global spread of COVID-19 using different methods, sometimes changing the rules after a few days. All of them are publishing the number of new individuals infected, recovered and dead individuals, along with some supplementary material. These data are often recorded in a non-uniform manner and do not conform the standard definitions of these variables. In this paper we show that, using data from the first wave of the epidemic (February-June), Kaplan-Meier curves calculated with them could provide useful information on the dynamics of the disease in different countries. We developed our scheme based on the cumulative total number of infected, recovered and dead individuals provided by the countries. We present a robust and simple model to show certain characteristics of the evolution of the dynamic process, showing that the differences in evolution between countries are reflected in the corresponding Kaplan-Meier-type curves. We compare the curves obtained for the most affected countries at that time, with the corresponding interpretation of the properties that distinguish them. The model is revealed as a practical tool for countries in the management of the Healthcare System.

[EN] We consider a quasi-metric topological structure for the construction of a new reinforcement learning model in the framework of financial markets. It is based on a Lipschitz type extension of reward functions defined in metric spaces. Specifically, the McShane and Whitney extensions are considered for a reward function which is defined by the total evaluation of the benefits produced by the investment decision at a given time. We define the metric as a linear combination of a Euclidean distance and an angular metric component. All information about the evolution of the system from the beginning of the time interval is used to support the extension of the reward function, but in addition this data set is enriched by adding some artificially produced states. Thus, the main novelty of our method is the way we produce more states-which we call "dreams"-to enrich learning. Using some known states of the dynamical system that represents the evolution of the financial market, we use our technique to simulate new states by interpolating real states and introducing some random variables. These new states are used to feed a learning algorithm designed to improve the investment strategy by following a typical reinforcement learning scheme. (C) 2020 Elsevier B.V. All rights reserved.

[EN] Let (Omega,sigma,mu) be a finite measure space and consider a Banach function space Y(mu). We say that a Banach space E is representable by Y(mu) if there is a continuous bijection I:Y(mu)-> E. In this case, it is possible to define an order and, consequently, a lattice structure for E in such a way that we can identify it as a Banach function space, at least regarding some local properties. General and concrete applications are shown, including the study of the notion of the pth power of a Banach space, the characterization of spaces of operators that are isomorphic to Banach lattices of multiplication operators, and the representation of certain spaces of homogeneous polynomials on Banach spaces as operators acting in function spaces.

[ES] El objetivo de la investigación es presentar un procedimiento que permita conocer el desarrollo económico y social de una entidad local a partir de iniciativas de gobierno abierto y apertura de la información. Se propone una metodología que facilite esta acción mediante la incorporación de plataformas analíticas a disposición del ciudadano. Para mostrar la aplicación de esta metodología, se explica la creación de la plataforma COMUNDA, que utiliza datos disponibles del Ayuntamiento de la Pobla de Vallbona (Valencia) sobre los gastos municipales para analizar aspectos de la contratación pública. Estos instrumentos de segundo nivel, creados a partir de datos publicados por los ayuntamientos, pueden constituir herramientas analíticas para detectar irregularidades y para publicitar el tejido empresarial del municipio que pueden permitir a los ayuntamientos articular políticas adecuadas, ya las empresas y los particulares conocer mejor las características socioeconómicas de la población. Se ha comprobado la utilidad del protocolo de actuación y análisis propuesto, extrapolable a otros casos, sobre el caso concreto de la plataforma citada. En este caso, la métrica MELODA da una calificación de 48,3% de calidad en la reutilización y se ha podido comprobar que la utilización de nuestro procedimiento constata un incremento de la contratación pública en el municipio en el año 2011, uno de los peores años de la crisis económica, y que la contratación a empresas externas al municipio es de dos a tres millones de euros superior a la contratación local., [Otros] L'objectiu de la investigació és presentar un procediment que permeti conèixer el desenvolupament econòmic i social d'una entitat local a partir d'iniciatives de govern obert i obertura de la informació. Es proposa una metodologia que faciliti aquesta acció mitjançant la incorporació de plataformes analítiques a disposició del ciutadà. Per mostrar l'aplicació d'aquesta metodologia, s'explica la creació de la plataforma COMUNDA, que utilitza dades disponibles de l'Ajuntament de la Pobla de Vallbona (València) sobre les despeses municipals per analitzar aspectes de la contractació pública. Aquests instruments de segon nivell, creats a partir de dades publicades pels ajuntaments, poden constituir eines analítiques per detectar irregularitats i per publicitar el teixit empresarial del municipi que poden permetre als ajuntaments articular polítiques adequades, i a les empreses i als particulars conèixer millor les característiques socioeconòmiques de la població. S'ha comprovat la utilitat del protocol d'actuació i anàlisi proposat, extrapolable a altres casos, sobre el cas concret de la plataforma citada. En aquest cas, la mètrica MELODA dona una qualificació de 48,3% de qualitat en la reutilització i s'ha pogut comprovar que la utilització del nostre procediment constata un increment de la contractació pública al municipi l'any 2011, un dels pitjors anys de la crisi econòmica, i que la contractació a empreses externes al municipi és de dos a tres milions d'euros superior a la contractació local., [EN] This study describes a procedure that can trackthe economic and social development of a local government body, based on open government initiatives and openness of information. A methodology is proposed that incorporates analytical platforms available to the general public. To illustrateits application, the creation of the COMUNDA platform is described. The COMUNDA platform uses data provided from the Town Council of La Pobla de Vallbona (Valencia) on municipal spending in order to analyse aspects of public procurement. These second-level instruments, created from data published by the councils, can be useful analytical tools for detecting irregularities and for focusing attention on the business fabric of the municipality. The information obtained can help councils to design appropriate policies and help companies and individuals to understand the socioeconomic characteristics of the population. The article confirms the usefulness of the action and analysis protocolproposed for the platform mentioned, and the results suggest that it can be extrapolated to other scenarios. In this case, the MELODA metric gives a data reusabilityrating of 48.3%. Our procedure shows an increase in public procurement in the municipality in 2011, one of the worst years of the economic crisis, and also finds that outsourcing to external companies in the municipality accounts for 2 to 3 million € more than local contracting.

[ES] Uno de los problemas al trabajar con datos es la falta de uniformidad en los criterios de su recogida, lo que hace que la reutilización sea difícil, cuando no imposible. Deben tenerse claros los protocolos de recolección y estandarización de los datos. Este hecho se ha podido constatar en la situación de pandemia global provocada por la Covid-19, en la que se han necesitado con urgencia datos uniformes para tomar decisiones rápidas y mantener informada a la población. En este trabajo se observan las dificultades para crear un portal que analiza la evolución de los datos de la pandemia en España. CovidDATA-19 es una web de datos abiertos que presenta visualizaciones interactivas y permite descargar los datos filtrados según las elecciones del usuario. En su creación se ha puesto de manifiesto la escasez de fuentes oficiales fácilmente reutilizables y la fragilidad de la confianza en los datos en estos momentos de crisis., [EN] One of the problems when working with data is the lack of uniformity in the criteria for their collection, which makes their reuse difficult if not impossible. Data collection and standardization protocols must be clear. This problem has been seen in the global pandemic caused by Covid-19, in which uniform data have been urgently needed to make rapid decisions and keep the population informed. The difficulties of creating a portal that analyzes the evolution of the data on the pandemic in Spain are discussed. CovidDATA-19 is an open data website that features interactive visualizations and allows filtered data to be downloaded according to the user's choices. Its development as highlighted the scarcity of easily reusable official sources and the fragility of trust in such data during this crisis.

[EN] Let (X, Sigma, mu) be a finite measure space and consider a Banach function space Y(mu). Motivated by some previous papers and current applications, we provide a general framework for representing reproducing kernel Hilbert spaces as subsets of Kothe Bochner (vectorvalued) function spaces. We analyze operator-valued kernels Gamma that define integration maps L-Gamma between Kothe-Bochner spaces of Hilbert-valued functions Y(mu; kappa). We show a reduction procedure which allows to find a factorization of the corresponding kernel operator through weighted Bochner spaces L-P(gd mu; kappa) and L-P (hd mu; kappa) - where 1/p + 1/p' = 1 - under the assumption of p-concavity of Y(mu). Equivalently, a new kernel obtained by multiplying Gamma by scalar functions can be given in such a way that the kernel operator is defined from L-P (mu; kappa) to L-P (mu; kappa) in a natural way. As an application, we prove a new version of Mercer Theorem for matrix-valued weighted kernels.

[EN] Choosing a journal to publish a work is a task that involves many variables. Usually, the authors' experience allows them to classify journals into categories, according to their suitability and the characteristics of the article. However, there are certain aspects in the choice that are probabilistic in nature, whose modelling may provide some help. Suppose an author has to choose a journal from a preference list to publish an article. The researcher is interested in publishing the paper in a journal with a rank number less than or equal to k. For this purpose, a simple classification model is presented in order to choose the best journal from the list, from which some fundamental consequences can be deduced and simple rules derived. For example, if the list contains 100 journals and is ordered using 2-year impact factor, the rule "send to the journal at the k - 10 position" is adequate.

[EN] We show a simple model of the dynamics of a viral process based, on the determination of the Kaplan-Meier curvePof the virus. Together with the function of the newly infected individualsI, this model allows us to predict the evolution of the resulting epidemic process in terms of the numberEof the death patients plus individuals who have overcome the disease. Our model has as a starting point the representation ofEas the convolution ofIandP. It allows introducing information about latent patients-patients who have already been cured but are still potentially infectious, and re-infected individuals. We also provide three methods for the estimation ofPusing real data, all of them based on the minimization of the quadratic error: the exact solution using the associated Lagrangian function and Karush-Kuhn-Tucker conditions, a Monte Carlo computational scheme acting on the total set of local minima, and a genetic algorithm for the approximation of the global minima. Although the calculation of the exact solutions of all the linear systems provided by the use of the Lagrangian naturally gives the best optimization result, the huge number of such systems that appear when the time variable increases makes it necessary to use numerical methods. We have chosen the genetic algorithms. Indeed, we show that the results obtained in this way provide good solutions for the model.