Solving the farthest point problem in finite codimensional subspaces of C(\(\Omega\) )

DOI10.1007/BF01903628zbMath0654.46023OpenAlexW1973408625MaRDI QIDQ1108540

Á. P. Bosznay

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903628

zbMATH Keywords

singletonuniquely remotalfarthest point problem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Convexity of Chebyshev sets
• On Jung's constant and related constants in normed linear spaces
• A remark on the farthest point problem
• Sets with unique farthest points
• Remarks on the unique farthest point problem in some subspaces ofC