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Browsing by Author "Prado Bassas, José Antonio"
Now showing items 1-20 of 29
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Article
A dynamical characterization of sub-Arakelian subsets
Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2013-09-15)We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire ...
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Article
Algebraic structure of continuous, unbounded and integrable functions
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Elsevier, 2019-02)In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...
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Final Degree Project
Aproximación en variable compleja
Prado Rodríguez, Ana María (2016-09)In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ...
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Final Degree Project
Caos lineal
Prado Rodríguez, Mercedes (2013-09)Chaos is a concept that has always attracted the attention of mathematicians and physicists as well as the general public. ...
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PhD Thesis
Ciclicidad de coeficientes multiplicadores y subespacios de funciones universales
Prado Bassas, José Antonio (2004) -
Master's Final Project
Contraejemplos en Análisis : Lineabilidad
Condado Peñaranda, Juan (2021)In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ...
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Article
Cyclicity of coefficient multipliers: Linear structure
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2007-03)In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ...
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Master's Final Project
Funciones universales y propiedades de Acotación
Prado Rodríguez, Mercedes (2015-09-15)El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ...
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Article
Hausdorff and Box dimensions of continuous functions and lineability
Bonilla Ramírez, Antonio Lorenzo; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Taylor & Francis, 2019-05)Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s.
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Final Degree Project
Hiperciclicidad e hiperciclicidad frecuente
Acuaviva Huertos, Pablo (2022-06-22)This work serves as an introduction to hypercyclicity, focusing on hypercyclicity in linear dynamical systems, with a ...
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Minor Thesis
Hiperciclidad de operadores shifts. Algunos problemas relacionados
Prado Bassas, José Antonio (2001-01) -
Article
Holomorphic operators generating dense images
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Springer, 2008-01)The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ...
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Article
Large subspaces of compositionally universal functions with maximal cluster sets
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2012-02)Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions ...
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Master's Final Project
Lineabilidad en espacios de sucesiones
Gerlach Mena, Pablo José (2016-06)Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ...
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Master's Final Project
Lineabilidad y curvas de Peano
Jácome Maura, Francisco (2018)Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ...
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Article
Lineability and modes of convergence
Calderón Moreno, María del Carmen; Gerlach Mena, Pablo José; Prado Bassas, José Antonio (Springer, 2020-01)In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...
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Article
Lineability in sequence and function spaces
Araújo Soares, Gustavo; Bernal González, Luis; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Polish Academy of Sciences, Institute of Mathematics, 2017)It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...
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PhD Thesis
Linear and algebraic structures in function sequence spaces
Gerlach Mena, Pablo José (2020-06-18)Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ...
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Article
Matemáticas: una ¿triste? historia de amor
Prado Bassas, José Antonio (2014-12-25)Recientemente me encontré en Twitter el vídeo Math tell us three of the saddest love stories del blog Lemongum sobre cómo ...
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Article
Maximal cluster sets along arbitrary curves
Bernal González, Luis; Calderón Moreno, María del Carmen; Prado Bassas, José Antonio (Elsevier, 2004-08)The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.