The embedding of proximinal sets

DOI10.1016/0021-9045(86)90006-7zbMath0604.41034OpenAlexW2074921515MaRDI QIDQ1083634

E. W. Cheney, Carlo Franchetti

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90006-7

zbMATH Keywords

Chebyshev centersMazur's proximinality theoremproximinal subset

Mathematics Subject Classification ID

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

Related Items (6)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Alcuni risultati sugli insiemi prossiminali negli spazi di Banach ⋮ Separation of convex sets by extreme hyperplanes ⋮ An existence criterion for a smooth function under constraints ⋮ Steiner points in the space of continuous functions ⋮ Chebyshev centres, Jung constants, and their applications

Cites Work

• The conditional Chebyshev center of a compact set of continuous functions
• Restricted centers in subalgebras of C(X)
• Conditional Chebyshev center of a bounded set of continuous functions
• On simultaneous Chebyshev approximation and Chebyshev approximation with an additive weight
• Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
• Restricted Centers in C(Ω)
• Minimal projections in tensor-product spaces
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