28 citations · 50 across the 17 of their papers we have counts for
26 papers
Effective Dimensions in Grothendieck--Hölder Inequalities
Joedson Santos, Diana Serrano-Rodríguez
What becomes of Grothendieck's inequality when its Hilbert-space vectors are replaced by vectors in and ? For an matrix, we show that the univer…
Binary dimension-free discretization and polynomial complexification on real cubes
Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón, Joedson Santos
Let be the optimal dimension-free ratio between the polytorus and Boolean-cube norms of complex multiaffine polynomials of degree at most . For every , equa…
A new criterion for the normalized Haar measure to be a Pietsch measure
Alexandre Bispo, Renato Macedo, Joedson Santos
In this paper we present a new criterion to determine when the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings. As a cons…
An anisotropic summability and mixed sequences
Jamilson R. Campos, Renato Macedo, Joedson Santos
In this paper we define and study a vector-valued sequence space, called the space of anisotropic -summable sequences, that generalizes the classical space of -mix…
Unified Grothendieck's and Kwapień's theorems for multilinear operators
Daniel Núñez-Alarcón, Joedson Santos, Diana Serrano-Rodríguez
Kwapień's theorem asserts that every continuous linear operator from to is absolutely -summing for …
Some properties of almost summing operators
Renato Macedo, Joedson Santos
In this paper we extend the scope of three important results of the linear theory of absolutely summing operators. The first one was proved by Bu and Kranz in \cite{BK} and it asse…