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math.FA2026
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…
math.FA2026
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…
math.FA2026
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…