Approximation and norm derivatives in real normed spaces

DOI10.1007/BF03323304zbMath0489.41032OpenAlexW2031578312MaRDI QIDQ1166739

S. Singh

Publication date: 1982

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323304

zbMATH Keywords

farthest pointsChebyshev centerscharacterizations of hilbertian normsshelters

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Functionals generated dually by minimal projectors, and criteria for Banach spaces to be Hilbert ⋮ Characterization and uniqueness of nonlinear uniform approximation

Cites Work

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• Nearest points and support points in Banach spaces
• A decomposition relative to suns
• Weakly proximinal sets
• Approximation and strong approximation in normed spaces via tangent functionals
• Sheltered points in normed spaces
• Unicity and strong unicity in approximation theory
• On simultaneous Chebyshev approximation

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