Unique best approximation from a \(C^2\)-manifold in Hilbert space

DOI10.2140/pjm.1980.87.233zbMath0443.41028OpenAlexW2049518738MaRDI QIDQ1144224

Theagenis Abatzoglou

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2140/pjm.1980.87.233

zbMATH Keywords

Hilbert spaceglobal best approximationC2-manifold

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Calculus on manifolds; nonlinear operators (58C99)

Related Items (4)

Best approximations from Hilbert submanifolds ⋮ Quasi-convex sets and size \(\times\) curvature condition, application to nonlinear inversion ⋮ A directional curvature formula for convex bodies in \(\mathbb{R}^n\) ⋮ Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor

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