ListarAnálisis Matemático por materia "Algebrability"
Mostrando ítems 1-14 de 14
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Algebraic structure of continuous, unbounded and integrable functions
(Elsevier, 2019-02)In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions ...
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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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Families of strongly annular functions: linear structure
(Springer, 2013-01)A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles ...
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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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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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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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Lineability and modes of convergence
(Springer, 2020-01)In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with ...
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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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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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Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, ...
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The algebraic size of the family of injective operators
(De Gruyter Open, 2017-01)In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators ...
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The set of space-filling curves: topological and algebraic structure
(Elsevier, 2015-02-15)In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into ...
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Vector spaces of non-extendable holomorphic functions
(Springer, 2018-02)In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of the complex plane that ...