A. Defant

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4 papers · 1 filter

math.FA2026

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…

math.FA2024

Asymptotic insights for projection, Gordon-Lewis and Sidon constants in Boolean cube function spaces

Andreas Defant, Daniel Galicer, MartÃn Mansilla +2

The main aim of this work is to study important local Banach space constants for Boolean cube function spaces. Specifically, we focus on $B_{S}^{N}$ , the finite-d…

math.FA2024

Projection constants for spaces of Dirichlet polynomials

Andreas Defant, Daniel Galicer, MartÃn Mansilla +2

Given a frequency sequence $I ¨ = (I ¨ _{n})$ and a finite subset $J \subset N$ , we study the space $H_{\infty}^{J} (I ¨ )$ of all Dirichlet polynomials $D(s) := \sum_{n \…

math.FA2024

The projection constant for the trace class

Andreas Defant, Daniel Galicer, MartÃn Mansilla +2

We study the projection constant of the space of operators on $n$ -dimensional Hilbert spaces, with the trace norm, $S_{1} (n)$ . We show an integral formula for the projection…