\(C^{1}\)-Weierstrass for compact sets in Hilbert space.

DOI10.1016/S0022-247X(03)00427-XzbMath1033.46023MaRDI QIDQ1408797

H. Movahedi-Lankarani, Robert Wells

Publication date: 25 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceLipschitz normtangent spaceWeierstrass approximation theoremWhitney jet\(C^1\) embedding

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach spaces of continuous, differentiable or analytic functions (46E15) Continuous and differentiable maps in nonlinear functional analysis (46T20) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (1)

A Lipschitz version of the \(\lambda\)-lemma and a characterization of homoclinic and heteroclinic orbits

Cites Work

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• Étude de quelques algèbres tayloriennes
• Filling Riemannian manifolds
• On the theorem of Rademacher
• Differentiability of Lipschitz functions on metric measure spaces
• Kirszbraun's theorem and metric spaces of bounded curvature
• Lectures on analysis on metric spaces
• Differentiable functions on Banach spaces with Lipschitz derivatives
• Rings of functions in Lipschitz topology
• Extendability of Large-Scale Lipschitz Maps
• Smooth Finite Dimensional Embeddings
• Douady's conjecture on Banach analytic spaces
• Extension of range of functions
• The Topology of Quasibundles

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