A. Raposo

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math.FA2026

Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps

Daniel M. Pellegrino, Anselmo Raposo

We study real multilinear forms with coefficients in ${- 1, 1}$ on finite-dimensional Hilbert spaces. Every trilinear sign form on $ℓ_{2}^{r} \times ℓ_{2}^{n} \times ℓ_{2}^{n}$ has norm a…

math.FA2026

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

Daniel M. Pellegrino, Anselmo Raposo

Let $C_{q}$ denote the group of the $q$ th roots of unity. A question arising from the work of Becker, Klein, Slote, Volberg and Zhang is whether the dimension-free Bohnenblust--Hille…

math.FA2026

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

Anselmo Raposo, Geivison Ribeiro

For an operator $T : X \to Y$ , denote $m (T) = in f {∥ T x ∥ : x \in S_{X}}$ . A sequence $(x_{n})$ in $S_{X}$ is said to be minimizing for $T$ if $∥ T x_{n} ∥ \to m (T)$ . The weak minimizing property…