8 papers · 1 filter
Support-Sensitive Bohnenblust-Hille Inequalities and Local Invariants on Hamming Schemes
Andreas Defant, Daniel Galicer, MartÃn Mansilla +2
We investigate local invariants and geometric phenomena for polynomial spaces of low degree on the -ary Hamming scheme , where denotes the cyclic group of order …
Strong Polarization and Entropy
Daniel Galicer, Oscar Ortega-Moreno, Damián Pinasco
We show that for any set of unit vectors in a real Hilbert space and positive numbers satisfying , there exists a unit vector…
Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere
Andreas Defant, Daniel Galicer, MartÃn Mansilla +2
We investigate projection constants for spaces of bihomogeneous harmonic and bihomogeneous polynomials on the unit sphere in finite-dimensional complex Hilbert spaces. Using averag…
Minimal projections onto spaces of polynomials on real euclidean spheres
Andreas Defant, Daniel Galicer, MartÃn Mansilla +2
We investigate projection constants within classes of multivariate polynomials over finite-dimensional real Hilbert spaces. Specifically, we consider the projection constant for sp…
Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials
Andreas Defant, Daniel Galicer, MartÃn Mansilla +2
The primary aim of this work is to develop methods that provide new insights into the relationships between fundamental constants in Banach space theory--specifically, the projecti…
The -Operator Approximation Property
Javier Alejandro Chávez-DomÃnguez, Verónica Dimant, Daniel Galicer
We study a notion analogous to the -Approximation Property (-AP) for Banach spaces, within the noncommutative context of operator spaces. Referred to as the -Operator Appr…