Best approximation by closed sets in Banach spaces

DOI10.1016/0021-9045(78)90076-XzbMath0399.41026MaRDI QIDQ1254683

Ka-Sing Lau

Publication date: 1978

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Almost Chebyshev SetsProximinal SetUniformly Convex Banach SpaceUnique Best Approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items

Köthe-Bochner spaces and some geometric properties related to rotundity and smoothness ⋮ Absolute sums of Banach spaces and some geometric properties related to rotundity and smoothness ⋮ On semi-uniform Kadec-Klee Banach spaces ⋮ Weakly compactly LUR Banach spaces ⋮ Sufficient conditions for normal structure in a Banach space ⋮ On a generalized James constant ⋮ On \(P\)- and \(p\)-convexity of Banach spaces ⋮ The proximal normal formula in Hilbert space ⋮ Generic existence of solutions for some perturbed optimization problems ⋮ On a generalisation of local uniform rotundity ⋮ Generalised Jordan-von Neumann constants and uniform normal structure

Cites Work

• Unnamed Item
• Weakly proximinal sets
• On almost Chebyshev subspaces
• Uniformly non-square Banach spaces
• Averaged norms
• On Čebyšev and almost Čebyšev subspaces