On the convexity of the weakly compact Chebyshev sets in Banach spaces

DOI10.1007/BF02773563zbMath0955.46005OpenAlexW2090653176MaRDI QIDQ1567336

Vassilis Kanellopoulos

Publication date: 14 February 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773563

zbMATH Keywords

extreme pointsChebyshev setsalmost smooth

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07)

Related Items (3)

Convexity of generalized proximinal sets in Banach spaces ⋮ On non-linear \(\varepsilon\)-isometries between the positive cones of certain continuous function spaces ⋮ A Chebyshev set and its distance function

Cites Work

• Convexity of Chebyshev sets
• Geometric aspects of convex sets with the Radon-Nikodym property
• Chebyshev Sets and Facial Systems of Convex Sets in Finite-Dimensional Spaces
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Criteria for convexity in Banach spaces
• Convex Sets and Chebyshev Sets.
• Convex Sets and Chebyshev Sets II.
• Cebysev Sets in Hilbert Space
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