Approximate properties of sets in Hilbert space

DOI10.1007/BF01145720zbMath0501.46023OpenAlexW2041933641MaRDI QIDQ1172241

V. S. Balaganskij

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01145720

zbMATH Keywords

first categorymetric projectionclosed convex setbodysplitting pointsStechkin's theoremTschebyschev set

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (2)

Continuities of metric projection and geometric consequences ⋮ The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces

Cites Work

• Convexity of Chebyshev sets
• Farthest points of sets in uniformly convex Banach spaces
• The weak continuity of metric projections
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• On equidistant sets in normed linear spaces
• Cebysev Sets in Hilbert Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximate properties of sets in Hilbert space