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Artículo
Algebraic structure of continuous, unbounded and integrable functions
(Elsevier, 2019-02)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on ...
Tesis Doctoral
Linear and algebraic structures in function sequence spaces
(2020-06-18)
Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic structures that satisfy certain properties that, a priori, contradict the mathematical intuition. The ...
Artículo
Infinite pointwise lineability: general criteria and applications
(Springer, 2023-11-11)
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 ...
Artículo
Lineability and modes of convergence
(Springer, 2020-01)
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 ...
Artículo
Anti M-Weierstrass function sequences
(Elsevier, 2020-11-01)
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 ...