Projections onto hyperplanes in Banach spaces

DOI10.1016/0021-9045(83)90149-1zbMath0516.41028OpenAlexW1976813220MaRDI QIDQ1052563

Carlo Franchetti

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90149-1

zbMATH Keywords

projectionsChebyshev radius

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (14)

The Radius Ratio and Convexity Properties in Normed Linear Spaces ⋮ Codimension-one minimal projections onto Haar subspaces ⋮ Minimal Versus Orthogonal Projections onto Hyperplanes in $$\ell _1^{n}$$ ℓ 1 n and $$\ell _{\infty }^{n}$$ ℓ ∞ n ⋮ Minimal projections in spaces of functions of \(N\) variables ⋮ Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces ⋮ Kolmogorov's type criteria for spaces of compact operators ⋮ Diametrically complete sets and normal structure ⋮ Norming points and unique minimality of orthogonal projections ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ The unique minimality of an averaging projection ⋮ The separable Jung constant in Banach spaces ⋮ Cominimal projections in \(l_\infty^n\) ⋮ Minimal Shape-Preserving Projections Onto Π _n : Generalizations and Extensions ⋮ HYPERPLANES OF FINITE-DIMENSIONAL NORMED SPACES WITH THE MAXIMAL RELATIVE PROJECTION CONSTANT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some covering and intersection properties in Minkowski spaces
• Some applications of expansion constants
• On the norms of metric projections
• Minimal projections on hyperplanes in sequence spaces
• A characterization of \(\mathcal P_1\) spaces
• Orthogonal projections in spaces of continuous functions
• Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
• Restricted Centers in C(Ω)
• Some Results on the Radial Projection in Banach Spaces

This page was built for publication: Projections onto hyperplanes in Banach spaces