Buscar
Mostrando ítems 1-7 de 7
Artículo
Undominated Sequences of Integrable Functions
(Springer Nature, 2020-10-20)
In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, we study both topological and algebraic genericity ...
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
Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
(Springer, 2021-12-16)
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable but yet their two iterated integrals exist as real numbers and coincide. ...
Artículo
Pseudo-Fubini Real-Entire Functions on the Plane
(Springer, 2022-09-09)
In this note, it is proved the existence of a c -dimensional vector space of real-entire functions all of whose nonzero members are non-integrable in the sense of Lebesgue but yet their two iterated integrals exist as ...
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 ...