10 citations · 24 across the 4 of their papers we have counts for
3 papers · 1 filter
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…