Author profile: Prado Bassas, José Antonio
Institutional data
Name | Prado Bassas, José Antonio |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Profesor Titular de Universidad |
Request | |
Statistics
-
No. publications
34
-
No. visits
6839
-
No. downloads
13231
Publications |
---|
Chapter of Book
Doblando voy, doblando vengo
(Publicaciones de la Universidad de Alicante, 2024)
|
Article
Infinite pointwise lineability: general criteria and applications
(Springer, 2023)
In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to ... |
Book
Historia del infinito: El apasionante relato de uno de los conceptos más profundos y enigmáticos de las matemáticas
(Pinolia, 2023)
Uno de los más profundos conceptos de la matemática es, posiblemente, el de infinito. Los matemáticos hemos tardado muchos ... |
Final Degree Project
Hiperciclicidad e hiperciclicidad frecuente
(2022)
This work serves as an introduction to hypercyclicity, focusing on hypercyclicity in linear dynamical systems, with a ... |
Master's Final Project
Contraejemplos en Análisis : Lineabilidad
(2021)
In 1966, Russian mathematician Vladimir Gurariy proved that the set of continuous functions on the interval [0, 1] that ... |
Article
Anti M-Weierstrass function sequences
(Elsevier, 2020)
Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having ... |
Article
Undominated Sequences of Integrable Functions
(Springer Nature, 2020)
In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the ... |
PhD Thesis
Linear and algebraic structures in function sequence spaces
(2020)
Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic ... |
Article
Lineability and modes of convergence
(Springer, 2020)
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ... |
Final Degree Project
Modos de Convergencia
(2020)
El objetivo de este trabajo es mostrar al lector varios modos de convergencia de sucesiones de funciones, estos son: ... |
Article
Hausdorff and Box dimensions of continuous functions and lineability
(Taylor & Francis, 2019)
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. |
Article
Algebraic structure of continuous, unbounded and integrable functions
(Elsevier, 2019)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ... |
Article
Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ... |
Master's Final Project
Lineabilidad y curvas de Peano
(2018)
Las curvas de Peano pueden generalizarse y entenderse: o bien como aplicaciones continuas y sobreyectivas entre dos espacios ... |
Article
Lineability in sequence and function spaces
(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 ... |
Final Degree Project
Aproximación en variable compleja
(2016)
In the late Nineteenth Century, Weierstrass showed that any continuous real function in a compact can be uniformly ... |
Master's Final Project
Lineabilidad en espacios de sucesiones
(2016)
Desde siempre, grandes matemáticos de todas las épocas se han sentido atraídos y fascinados por la existencia de grandes ... |
Master's Final Project
Funciones universales y propiedades de Acotación
(2015)
El objetivo principal de este Trabajo Fin de Máster es realizar un estudio sobre los últimos resultados de existencia de ... |
Article
The set of space-filling curves: topological and algebraic structure
(Elsevier, 2015)
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into ... |
Final Degree Project
Monstruos de Weierstrass
(2015)
|
Article
Matemáticas: una ¿triste? historia de amor
(2014)
Recientemente me encontré en Twitter el vídeo Math tell us three of the saddest love stories del blog Lemongum sobre cómo ... |
Article
A dynamical characterization of sub-Arakelian subsets
(Elsevier, 2013)
We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire ... |
Final Degree Project
Caos lineal
(2013)
Chaos is a concept that has always attracted the attention of mathematicians and physicists as well as the general public. ... |
Article
La vida secreta de los números
(2012)
Cuando uno ve un número, automáticamente piensa en Matemáticas. Se podría decir que son el alfabeto de esta ciencia. Sin ... |
Article
Large subspaces of compositionally universal functions with maximal cluster sets
(Elsevier, 2012)
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions ... |
Article
Universal Taylor series with maximal cluster sets
(Consejo Superior de Investigaciones Científicas, 2009)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, ... |
Article
Holomorphic operators generating dense images
(Springer, 2008)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane ... |
Article
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators ... |
Article
Maximal cluster sets of L-analytic functions along arbitrary curves
(Springer, 2007)
Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose ... |
Article
Simultaneously maximal radial cluster sets
(Elsevier, 2005)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and ... |
Article
Maximal cluster sets along arbitrary curves
(Elsevier, 2004)
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. |
Article
Maximal cluster sets on spaces of holomorphic functions
(Oldenbourg, 2004)
This is an expository paper where we relate some aspects of the problem of looking for holomorphic functions with maximal ... |
PhD Thesis |
Minor Thesis |