Best approximations from Hilbert submanifolds

DOI10.1016/0021-9045(85)90091-7zbMath0602.41027OpenAlexW2052037637MaRDI QIDQ1081773

Lars Andersson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90091-7

zbMATH Keywords

separable Hilbert spaceHilbert submanifold

Mathematics Subject Classification ID

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

Cites Work

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• The metric projection on C2 manifolds in Banach spaces
• The Lipschitz continuity of the metric projection
• Unique best approximation from a \(C^2\)-manifold in Hilbert space
• Differentiability of nonlinear best approximation operator in a real inner product space
• The Hopf-Rinow theorem in infinite dimension
• Fréchet differentiability of convex functions
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• Curvature Measures
• Morse Theory. (AM-51)
• The Minimum Norm Projection on C 2 -Manifolds in R n
• Hilbert Manifolds Without Epiconjugate Points
• Shorter Notes: Differentiability of the Metric Projection in Finite- Dimensional Euclidean Space
• Riemannian geometry

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