Analysis of competitiveness in Colombian family businesses

Purpose: Building on the resource-based view and the configuration theory, the purpose of this study uses a systemic and multidimensional competitiveness index (CI) i.e. that incorporates system constraints among the 10 competitive pillars that form the index to assess the competitiveness level and the connection between competitiveness and economic performance [return on assets (ROA)] in family businesses (FBs). Design/methodology/approach: For the empirical application, the use a unique primary data set drawn from the global competitiveness project (www.gcp.org) that includes information for 77 Colombian FBs for 2017. Cluster analysis is used to evaluate the potential relationship between competitiveness, the configuration of competitive pillars and economic performance (ROA). Findings: The results for the CI show that the main competitive strengths of the analysed firms are related to the introduction of product innovations and networks (suppliers and customers), while the limited use of technologies in their operations and the low online presence are the main competitive weaknesses of these firms. Additionally, the findings of the cluster analysis reveal that different configurations of competitiveness pillars are associated with different performance levels. Therefore, the results contribute to identifying how specific strategies aimed at improving different resources or capabilities contribute to enhance business competitiveness, and ultimately, performance. Originality/value: By using an index number that takes into account the multiple interactions between resources and capabilities, the proposed analysis not only sheds light on the drivers of competitiveness i.e. resources and capabilities, and its connection to performance but also contributes to understanding the boundaries of the businesses’ competitiveness system, as well as the strategies that can potentially enhance competitiveness, and subsequently, business performance.Peer ReviewedPreprin

La recepción de Frankenstein en España de mano de sus ilustradores

This article examines the main Spanish visual readings of Mary Shelley’s Frankenstein from the first illustrated edition in Spain (1944) to the significant 200th anniversary of its publication. Thus, how Mary Shelley’s novel has morphed throughout time depending on the different illustrators who have approached the text can be assessed while identifying the key illustrated editions for this period. The analysis of the illustrated reception and history of Frankenstein offers a new perspective into how the novel has been both read and “seen” in Spain. The results of this study shed light on diverse aspects of the novel such as the perception of the monster and how oft-neglected characters and episodes have been slowly added to the visual rendition of the novel.Este artículo estudia las principales interpretaciones gráficas del Frankenstein de Mary Shelley que se han realizado en España, desde la publicación de la primera edición ilustrada en 1944 hasta la conmemoración del 200.o aniversario de publicación del original. A la vez que identifica las ediciones ilustradas clave dentro del período y evalúa hasta qué punto la novela de Mary Shelley se ha ido transformando de la mano de los diferentes ilustradores. Al analizar la recepción y la historia de Frankenstein, este artículo ofrece una nueva perspectiva sobre cómo se ha leído y “visto” el texto en España. El resultado de este estudio arroja luz sobre diversos aspectos de la novela tales como el modo en que se ha percibido la criatura y en que el resto de los personajes y episodios, con frecuencia relegados, han ido incorporándose paulatinamente a la interpretación de la novela desde una perspectiva visual

Operators with dense images everywhere

In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour is studied, proving that the new concept generalizes the earlier of omnipresent, but there is no good relationship with the strongly omnipresent operators. We obtain, among other results, that the following kinds of operators are dense-image: onto linear operators; operators with local dense range satisfying soft conditions; Volterra complex integral operators plus infinite order differential operators, multiplication operators. In addition, holomorphic selfmappings and entire functions generating dense-image right or left composition operators are completely characterized.Dirección General de Enseñanza Superior (DGES). EspañaJunta de Andalucí

A Seidel-Walsh theorem with linear differential operators

Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential operators with constant coefficients, both of them satisfying suitable conditions. We prove that for certain spaces X of holomorphic functions in the open unit disk, the set of functions f ∈ X such that {(Tnf) ◦ Sn : n ∈ N} is dense in H(D) is residual in X. This extends the Seidel-Walsh theorem together with some subsequent results.Dirección General de Enseñanza Superior (DGES). EspañaJunta de Andalucí

Large algebras of singular functions vanishing on prescribed sets

In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in terms of Z. In this case, large algebraic structures are found inside such family. The results obtained complete or extend a number of previous ones by several authors.Comment: 11 page

Monsters in Hardy and Bergman spaces

A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary. In this paper the Hardy spaces Hp and the Bergman spaces Bp (1 ≤ p < ∞) on the unit disk are considered, and it is shown that there are no Luh-monsters in them. Nevertheless, it is proved that T-monsters (as introduced by the authors in an earlier work) can be found in each of these spaces for any finite order linear differential operator T.Plan Andaluz de Investigación (Junta de Andalucía

Boundary-chaotic behaviour of continuous functions under the action of operators

In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including onto linear operators, left and right composition operators, multiplication operators, and operators with pointwise dense range or with some stability property, are given. This new theory extends one recently developed on spaces of holomorphic functions.Plan Andaluz de Investigación (Junta de Andalucía

Dense linear manifolds of monsters

In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of strongly omnipresent operators, also introduced by the authors in an earlier work, and both of them are related to the existence of functions whose images under such operators exhibit an extremely wild behaviour near the boundary. Sufficient conditions for an operator to be totally omnipresent as well as several outstanding examples are provided. After extending a statement of the first author about the existence of large linear manifolds of hypercyclic vectors for a sequence of suitable continuous linear mappings, it is shown that there is a dense linear manifold of holomorphic monsters in the sense of Luh, so completing earlier nice results due to Luh and Grosse-Erdmann.Dirección General de Enseñanza Superior (DGES). EspañaJunta de Andalucí

Holomorphic T-monsters and strongly omnipresent operators

Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic functions in G, endowed with the compact-open topology. In this paper we introduce the notions of strongly omnipresent operator and of T-monster, which are related to the wild behaviour of certain holomorphic functions near the boundary of G. T-monsters extend a concept introduced by W. Luh and K.-G. Grosse-Erdmann. After showing that T is strongly omnipresent if and only if the set of T-monsters is residual, it is proved in this paper that certain kinds of infinite order differential and antidifferential operators are strongly omnipresent, which improves some earlier nice results due to the mentioned authors.Dirección General de Enseñanza Superior (DGES). EspañaJunta de Andalucí