10 citations · 24 across the 4 of their papers we have counts for
4 papers
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…