33 citations · 45 across the 9 of their papers we have counts for
11 papers
The Separable Quotient Problem and the Lotz Property in Banach Spaces
Gustavo Araújo, Anderson Barbosa, Juan B. Seoane-Sepúlveda
In this paper, in addition to establishing several new sufficient or equivalent conditions for the well-known Separable Quotient Problem (SQP), we show that every infinite-dimensio…
The Lotz Property in Weakly Compactly Generated Spaces
Gustavo Araújo, Mateus Azevedo, Flank Bezerra +1
We study whether every infinite-dimensional weakly compactly generated (WCG) Banach space fails the Lotz property. The answer is affirmative in the nonseparable case: a classical d…
On the set of functions that vanish at infinity and have a unique maximum
Anderson Barbosa, Gustavo Araújo
In this paper, we show that the set of continuous functions defined on that approach zero at infinity and attain their maximum at precisely one (and only one) point…
Complements of unions: insights on spaceability and applications
Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1
This paper presents two general criteria to determine spaceability results in the complements of unions of subspaces. The first criterion applies to countable unions of subspaces u…
On the spaceability of the set of functions in the Lebesgue space which are in no other
Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1
In this note we prove that, for , is -spaceable if, and only if, . Such a problem…
A general lineability criterion for complements of vector spaces
Gustavo Araújo, Anderson Barbosa
In 1931, Banach proved that, far from being exceptional objects, the Weierstrass functions form a residual set in the space of continuous functions. Later on, in…
A summability principle and applications
Nacib Albuquerque, Gustavo Araújo, Lisiane Rezende +1
This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which general…
The Clauser-Horne-Shimony-Holt inequality in the context of a broad random variable
Felipe Andrade Velozo, José A. C. Nogales, Gustavo Figueiredo Araújo
In this work we aim to analyze the Clauser-Horne-Shimony-Holt CHSH inequality strictly in the context of probability theory. In the course of assembling inequality we have to take…
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…
Estimates on the norm of polynomials and applications
Gustavo Araújo, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández +1
In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy--Littlewood constants for -homo…
Polynomial inequalities on the -circle sector
G. Araújo, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +1
A number of sharp inequalities are proved for the space of 2-homogeneous polynomials on endowed with the suprem…