33 citations · 66 across the 8 of their papers we have counts for
9 papers
Counterexamples to the Jacobian Conjecture from the viewpoint of lineability
L. Bernal-González, M. C. Calderón-Moreno, J. A. Prado-Bassas
Algebraic genericity in the family of polynomial counterexamples to the recently solved Jacobian Conjecture for is investigated. The notion of affine-coneability is introdu…
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…
Infinite pointwise lineability: general criteria and applications
M. C. Calderón-Moreno, P. J. Gerlach-Mena, J. A. Prado-Bassas
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, w…
Anti M-Weierstrass function sequences
M. Carmen Calderón-Moreno, Pablo J. Gerlach-Mena, José A. Prado-Bassas
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 conve…
Lineability and modes of convergence
M. Carmen Calderón-Moreno, Pablo J. Gerlach-Mena, José A. Prado-Bassas
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…
Algebraic structure of continuous, unbounded and integrable functions
M. Carmen Calderón-Moreno, Pablo J. Gerlach-Mena, José A. Prado-Bassas
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in and of the family of sequences of these f…
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…