Convex \(C^1\) extensions of \(1\)-jets from compact subsets of Hilbert spaces

DOI10.5802/crmath.62zbMath1451.26015arXiv1911.04166OpenAlexW3085936190MaRDI QIDQ2208985

Daniel Azagra, Carlos Mudarra

Publication date: 28 October 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04166

zbMATH Keywords

Hilbert spaceWhitney extension\(C^1\) convex function

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Cites Work

• Global geometry and \(C^1\) convex extensions of 1-jets
• Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces
• Whitney extension theorems for convex functions of the classes C1 and C1,ω

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