Chalmers-Metcalf operator and uniqueness of minimal projections

DOI10.1016/j.jat.2006.10.008zbMath1125.41017OpenAlexW2057865012MaRDI QIDQ2456672

Grzegorz Lewicki, Lesław Skrzypek

Publication date: 19 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.10.008

zbMATH Keywords

Rademacher functionsminimal projection

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Approximation by operators (in particular, by integral operators) (41A35) Uniqueness of best approximation (41A52)

Related Items (17)

Chalmers–Metcalf Operator and Uniqueness of Minimal Projections in ℓ n ∞ and ℓ n 1 Spaces ⋮ On the $L_p$ norm of the Rademacher projection and related inequalities ⋮ Minimal Versus Orthogonal Projections onto Hyperplanes in $$\ell _1^{n}$$ ℓ 1 n and $$\ell _{\infty }^{n}$$ ℓ ∞ n ⋮ Subspaces of codimension two with large projection constants ⋮ On the dimension of the set of minimal projections ⋮ On the non-uniqueness of minimal projections in and discrete Walsh projections ⋮ The Chalmers-Metcalf operator and minimal extensions ⋮ Uniqueness of minimal projections in smooth expanded matrix spaces ⋮ Minimal projection onto certain subspace of Lp(X×Y×Z) ⋮ Some Results on Absolute Projection Constants ⋮ Best Approximation in Numerical Radius ⋮ Norming points and unique minimality of orthogonal projections ⋮ Computation of Minimal Projections and Extensions ⋮ Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant ⋮ On the non-uniqueness of minimal projection in \(L_p\) spaces ⋮ A note on the existence of real two-dimensional symmetric subspaces of \(L^p[-1,1\)] ⋮ Codimension 1 minimal projections onto the lines in \(L^p\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the non-uniqueness of minimal projection in \(L_p\) spaces
• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
• Minimal projections on hyperplanes in sequence spaces
• Minimal projections in \(\mathcal L_1\)-spaces
• Minimal extensions in tensor product spaces
• Norms of minimal projections
• Minimal projections in spaces of functions of \(N\) variables
• Best constants for the Riesz projection
• Symmetric spaces with maximal projection constants
• Projecting onto cycles in smooth, reflexive Banach spaces
• Projections on Invariant Subspaces
• Unique Minimality of Fourier Projections
• The Determination of Minimal Projections and Extensions in L 1
• On the existence and characterization of minimal projections.
• Two-dimensional real symmetric spaces with maximal projection constant
• Uniqueness of minimal projections onto two-dimensional subspaces
• On the minimal property of the Fourier projection
• On the Minimal Property of the Fourier Projection
• Projection Constants and Spaces of Continuous Functions
• Minimal projections in tensor-product spaces
• Fourier-type minimal extensions in real \(L_1\)-space
• Uniqueness of minimal projections in smooth matrix spaces
• Functional analysis and infinite-dimensional geometry

This page was built for publication: Chalmers-Metcalf operator and uniqueness of minimal projections