Listar Artículos (Análisis Matemático) por autor "Bernal González, Luis"
Mostrando ítems 21-40 de 80
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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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Holomorphic functions having large images under the action of differential operators
(Elsevier, 1999-02-15)We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear ...
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Holomorphic operators generating dense images
(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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Holomorphic T-monsters and strongly omnipresent operators
(Elsevier, 2000-06)Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic ...
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Hypercyclic algebras for D-multiples of convolution operators
(American Mathematical Society, 2019-02)It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
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Hypercyclic sequences of differential and antidifferential operators
(Elsevier, 1999-02)In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space ...
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Hypercyclic subspaces in Fréchet spaces
(American Mathematical Society, 2006-07)In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an ...
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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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Interpolation by hypercyclic functions for differential operators
(Elsevier, 2009-04)We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having ...
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Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006)In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, ...
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Lacunary non-continuable boundary-regular holomorphic functions with universal properties
(National Academy of Sciences of the Republic of Armenia, 2006)A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending ...
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Large algebras of singular functions vanishing on prescribed sets
(Springer, 2016-06-21)In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real ...
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Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions ...
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Large subspaces of compositionally universal functions with maximal cluster sets
(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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Lineability criteria, with applications
(Elsevier, 2014-03-15)Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A ...
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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 Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005)We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn ...
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Linear structure of the weighted holomorphic non-extendibility
(Cambridge University Press, 2006-06)In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear ...
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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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Maximal cluster sets along arbitrary curves
(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.