3 papers
math.FA2020
Macphail's Theorem revisited
Daniel Pellegrino, Janiely Silva
In 1947, M. S. Macphail constructed a series in that converges unconditionally but does not converge absolutely. According to the literature, this result helped Dvoretzk…
math.FA2020
On unimodular multilinear forms with small norms on sequence spaces
Daniel Pellegrino, Diana Serrano-Rodríguez, Janiely Silva
The Kahane--Salem--Zygmund inequality is a probabilistic result that guarantees the existence of special matrices with entries and generating unimodular -linear forms $…
math.CO2019
On a continuous Gale--Berlekamp switching game
Daniel Pellegrino, Janiely Silva, Eduardo V. Teixeira
We propose a continuous version of the classical Gale--Berlekamp switching game. We also study a weighted version of this new continuous game. The main results of this paper concer…