On the existence of extremal projections

DOI10.1016/0021-9045(72)90083-4zbMath0238.41013OpenAlexW2087951218MaRDI QIDQ2553018

E. W. Cheney, Joerg Blatter

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-9045(72)90083-4

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (9)

A constructive approach to minimal projections in Banach spaces ⋮ On transitivity of proximinality ⋮ Non-linear families of projections on C[-1, 1] ⋮ Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces ⋮ Minimal projections on hyperplanes in sequence spaces ⋮ Polynomoperatoren in \(C^k[a,b\)] ⋮ Orthogonal projections in spaces of continuous functions ⋮ Extremal points for some sets of projections on C(I) ⋮ Subspaces of finite codimension: The existence of elements of best approximation

Cites Work

• Unnamed Item
• Cebysev subspaces of finite codimension in \(C(X)\)
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• On the Basis Problem in Normed Spaces
• Generalizations of the Alaoglu theorem with applications to approximation theory, I
• Projection Constants and Spaces of Continuous Functions

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