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Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality
Daniel Núñez-Alarcón, Daniel M. Pellegrino, Eduardo V. Teixeira
The completely bounded Bohnenblust--Hille inequality of Arunachalam, Dutt, Escudero Gutiérrez and Palazuelos controls coefficient summability with optimal constant one, independent…
The phase diagram of injective-to-projective tensor distortion
Daniel Nunez-Alarcon, Daniel Pellegrino, Joedson Santos
For finite-dimensional Banach spaces and , set \[ ρ(E,F):=\sup_{0\neq z\in E\otimes F}\frac{π(z)}{\varepsilon(z)}. \] The square growth of was determi…
Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Anselmo Raposo +1
We determine the dimension-free threshold for the comparison between the Bombieri--Weyl norm and the supremum norm of complex homogeneous polynomials on . For -homogen…
The Geometry of Real Anisotropic Bohnenblust--Hille Constants
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Joedson Silva dos Santos +2
We determine the growth scale of the optimal constants in the real anisotropic Bohnenblust--Hille inequality. For an exponent vector , write $C_{\mathbf q^{(m)}}^{…
Optimality in a Multilinear Extension of Kwapień's Theorem
Luis Miguel Castaño Marín, Daniel Núñez-Alarcón, Geivison Ribeiro +1
Bayart, Pellegrino and Rueda proved that every continuous -linear operator from into is absolutely -summing, for explicit exponents .…
Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
We study the optimal Bohnenblust-Hille constants for complex -homogeneous polynomials in any number of variables whose monomials with nonzero coefficient invol…