ListarAnálisis Matemático por materia "Lineability"
Mostrando ítems 1-15 de 15
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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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Banach spaces of universal Taylor series in the disc algebra
(Springer, 2016-09)It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies ...
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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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Infinite pointwise lineability: general criteria and applications
(Springer, 2023-11-11)In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to ...
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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 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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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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[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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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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Subspaces of frequently hypercyclic functions for sequences of composition operators.
(Springer, 2019-02)In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a ...
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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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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 ...