Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Calderón Moreno, M."'
In this paper, pointwise convergence, uniform convergence and compact convergence of sequences of holomorphic functions on an open subset of the complex plane are compared from a linear point of view. In fact, it is proved the existence of large line
Externí odkaz:
http://arxiv.org/abs/2410.17157
It is proved that, if $(P_n)$ is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a d
Externí odkaz:
http://arxiv.org/abs/2408.00721
Publikováno v:
RACSAM 118, Article number: 25 (2024)
In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to obtain density from mere lineability. As an application, we study the linear and topological structures within the set of infini
Externí odkaz:
http://arxiv.org/abs/2307.10671
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 491, Issue 1, 1 November 2020, 124261
Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the interval but the series of the up
Externí odkaz:
http://arxiv.org/abs/2003.10263
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas, 114: 18 (2020)
In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but no
Externí odkaz:
http://arxiv.org/abs/1907.02103
Publikováno v:
Journal of Mathematical Analysis and Applications 470 (2019), 348--359
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in $[0,+\infty)$ and of the family of sequences of these functions converging to zero uniformly on compacta and in $L^1$-norm. I
Externí odkaz:
http://arxiv.org/abs/1807.09734
Publikováno v:
Constructive Approximation, Volume 50, pages 323-339, (2019)
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition,
Externí odkaz:
http://arxiv.org/abs/1712.06339
Akademický článek
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Akademický článek
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Publikováno v:
Linear Algebra and its Applications, 467 (2015), 57-74
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval $I$ into the plane $\mathbb{R}^2$ is performed. The first family is the collection of all Peano curves, that is, of those continuous ma
Externí odkaz:
http://arxiv.org/abs/1407.3951