Listar por autor "Seoane Sepúlveda, Juan Benigno"
Mostrando ítems 1-11 de 11
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Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...