33 citations · 46 across the 9 of their papers we have counts for
11 papers
SOT-large subspaces of non-cyclic operators
N. G. Albuquerque, G. Araújo, L. Bernal-González +2
In this paper, we consider the strong operator topology (SOT) on the space of continuous linear operators on an infinite-dimensional Fréchet space . The existe…
Frequently hypercyclic sequences of differential operators on the space of entire functions
L. Bernal-González, M. C. Calderón-Moreno, J. A. Prado-Bassas
A criterion to obtain frequent hypercyclicity for a sequence of convolution operators on the space of entire functions on the complex plane is provided. The criterion involves that…
Spaceability of special families of null sequences of holomorphic functions
L. Bernal-González, M. C. Calderón-Moreno, J. López-Salazar +1
In this note, we consider the space of sequences of holomorphic functions on an open set . If is endowed with its natural topology a…
New Results in Analysis of Orlicz-Lorentz spaces
Luis Bernal-González, Daniel L. Rodríguez-Vidanes, Juan B. Seoane-Sepúlveda +1
In this article, we investigate the existence of closed vector subspaces (i.e.spaceability) in various nonlinear subsets of Orlicz-Lorentz spaces , equipped with the Luxem…
Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
L. Bernal-González, M. S. Moslehian, J. B. Seoane-Sepúlveda
In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces.…
Subspaces of frequently hypercyclic functions for sequences of composition operators
Luis Bernal-González, M. Carmen Calderón-Moreno, Andreas Jung +1
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…
Multiplicative structures of hypercyclic functions for convolution operators
Luis Bernal-González, J. Alberto Conejero, George Costakis +1
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic wi…
On inequalities for convex functions
Luis Bernal-González, Pablo Jiménez-Rodríguez, Gustavo Adolfo Muñoz-Fernández +1
We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial inequalities among real numbers, and we gi…
Lineability in sequence and function spaces
G. Araújo, L. Bernal-González, G. A. Muñoz-Fernández +2
It is proved the existence of large algebraic structures \break --including large vector subspaces or infinitely generated free algebras-- inside, among others, the family of Lebes…
The set of space-filling curves: topological and algebraic structure
L. Bernal-González, M. C. Calderón-Moreno, J. A. Prado-Bassas
In this paper, a study of topological and algebraic properties of two families of functions from the unit interval into the plane is performed. The first family…
Lineability criteria, with applications
Luis Bernal-González, Manuel Ordóñez-Cabrera
Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A contains, except for zero, an infinite dimensional vector s…