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Listar Artículos (Análisis Matemático) por autor "Seoane Sepúlveda, Juan Benigno"
Mostrando ítems 1-11 de 11
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Artículo
Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; López-Salazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 2018-06)We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc ...
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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.
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Highly tempering infinite matrices
Bernal González, Luis; Conejero Casares, José Alberto; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno (Springer, 2018-04)In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of ...
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Infinite dimensional holomorphic non-extendability and algebraic genericity
Bernal González, Luis; Calderón Moreno, María del Carmen; Seoane Sepúlveda, Juan Benigno (Elsevier, 2017-01-15)In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space ...
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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 ...
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Linear subsets of nonlinear sets in topological vector spaces
Bernal González, Luis; Pellegrino, Daniel M.; Seoane Sepúlveda, Juan Benigno (American Mathematical Society, 2014-01)For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear ...
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Non-Lipschitz differentiable functions on slit domains
Bernal González, Luis; Jiménez Rodríguez, Pablo; Muñoz Fernández, Gustavo Adolfo; Seoane Sepúlveda, Juan Benigno (Springer, 2017-05)It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free ...
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Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
Bernal González, Luis; Bonilla Ramírez, Antonio Lorenzo; López-Salazar Codes, Jerónimo; Seoane Sepúlveda, Juan Benigno (Springer, 2019-04)We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach ...
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Peano curves on topological vector spaces
Gurgel e Albuquerque, Nacib André; Bernal González, Luis; Pellegrino, Daniel M.; Seoane Sepúlveda, Juan Benigno (Elsevier, 2014-11-01)The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit ...
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[S]-linear and convex structures in function families
Bernal González, Luis; Conejero Casares, José Alberto; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno (Elsevier, 2019-10-15)In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a ...
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Universality of sequences of operators related to Taylor series
Bernal González, Luis; Cabana Méndez, Hernán Javier; Muñoz Fernández, Gustavo Adolfo; Seoane Sepúlveda, Juan Benigno (Elsevier, 2019-06-01)In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic ...