Now showing items 1-20 of 29

    • Article
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      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 ...
    • Article
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      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 ...
    • Final Degree Project
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      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 ...
    • Final Degree Project
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      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. ...
    • PhD Thesis
    • Master's Final Project
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      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 ...
    • Article
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      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 ...
    • Master's Final Project
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      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 ...
    • Article
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      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.
    • Final Degree Project
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      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 ...
    • Minor Thesis
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      Hiperciclidad de operadores shifts. Algunos problemas relacionados 

      Prado Bassas, José Antonio (2001-01)
    • Article
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      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 ...
    • Article
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      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 ...
    • Master's Final Project
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      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 ...
    • Master's Final Project
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      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 ...
    • Article
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      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 ...
    • Article
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      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 ...
    • PhD Thesis
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      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 ...
    • Article
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      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 ...
    • Article
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      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.