Approximation by certain subspaces in the Banach space of continuous vector-valued functions

DOI10.1016/0021-9045(79)90108-4zbMath0426.41027OpenAlexW1975309446MaRDI QIDQ1136015

Frank Deutsch, Dan Amir

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90108-4

zbMATH Keywords

metric projectionapproximation by certain subspacesBanach space of continuous vector- valued functionsbest approximation by M-ideals

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

A framework for best simultaneous approximation: normed almost linear spaces ⋮ Relative rotundity in \(L^ p(X)\) ⋮ Chebyshev centers, \(\epsilon\)-Chebyshev centers and the Hausdorff metric ⋮ Centers and Nearest Points of Sets ⋮ Best approximation in tensor products ⋮ Relative Chebyshev centers in normed linear spaces. I ⋮ Asymptotic Chebyshev centers ⋮ Chebyshev centers and some geometric properties of Banach spaces ⋮ Some geometric properties of relative Chebyshev centres in Banach spaces ⋮ A relationship between the 1\(\frac12\)-ball property and the strong 1\(\frac12\)-ball property ⋮ Best approximation of bounded functions by continuous functions ⋮ Perturbation of sets and centers

Cites Work

• Unnamed Item
• Unnamed Item
• Approximation from the space of compact operators and other M-ideals
• Chebyshev centers and uniform convexity
• Existence d'une projection continue de meilleure approximation dans certains espaces de Banach
• Smoothness of approximation
• Structure in real Banach spaces. I and II
• On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps
• Normed Linear Spaces that are Uniformly Convex in Every Direction

This page was built for publication: Approximation by certain subspaces in the Banach space of continuous vector-valued functions