G. Araújo

collaborators

3 papers

math.FA2018

On the Maurey--Pisier and Dvoretzky--Rogers theorems

Gustavo Araújo, Joedson Santos

A famous theorem due to Maurey and Pisier asserts that for an infinite dimensional Banach space $E$ , the infumum of the $q$ such that the identity map $i d_{E}$ is absolutely $\left…

math.FA2018

Universal bounds for the Hardy--Littlewood inequalities on multilinear forms

Gustavo Araújo, Kleber Câmara

The Hardy--Littlewood inequalities for multilinear forms on sequence spaces state that for all positive integers $m, n \geq 2$ and all $m$ -linear forms $T:\ell_{p_{1}}^{n}\times\cdots…

math.CO2018

A Gale-Berlekamp permutation-switching problem in higher dimensions

Gustavo Araujo, Daniel Marinho Pellegrino

Let an $n \times n$ array $(a_{ij})$ of lights be given, each either on (when $a_{ij} = 1$ ) or off (when $a_{ij} = - 1$ ). For each row and each column there is a switch so t…