Banach spaces of polynomials as "large" subspaces of ${\mathbf{\ell }}^{\infty }$-spaces

Abstract

In this note we study Banach spaces of traces of real polynomials on ${\mathbb{R}}^n$ to compact subsets equipped with supremum norms from the point of view of Geometric Functional Analysis.

5 pages

References in corpus (2)

• On the metric entropy of the Banach-Mazur compactum
• Optimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of ${\mathbb{R}}^d$