On approximation properties of sets with convex complement

DOI10.1007/BF02309389zbMath0857.41030MaRDI QIDQ1907375

V. S. Balaganskij

Publication date: 21 February 1996

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

distance functionGâteaux differentiability

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Unnamed Item ⋮ On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal ⋮ A Chebyshev set and its distance function

Cites Work

• Banach spaces which are Asplund spaces
• \(w^*\) sequential convergence
• Some theorems on Chebyshev sets
• Metric projections and the differentiability of distance functions
• Approximation properties of sets with bounded complements
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Cebysev Sets in Hilbert Space
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