Kirszbraun’s Theorem via an Explicit Formula (Q5858664)

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scientific article; zbMATH DE number 7333163

Language	Label	Description	Also known as
English	Kirszbraun’s Theorem via an Explicit Formula	scientific article; zbMATH DE number 7333163

Statements

scholarly article

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Kirszbraun’s Theorem via an Explicit Formula (English)

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Erwan Y. Le Gruyer

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Canadian Mathematical Bulletin

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publication date

14 April 2021

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full work available at URL

https://arxiv.org/abs/1810.10288

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zbMATH Keywords

Lipschitz function

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Kirszbraun theorem

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MaRDI profile type

MaRDI publication profile

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A constructive proof of Kirszbraun's theorem

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Definable versions of theorems by Kirszbraun and Helly

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Whitney extension theorems for convex functions of the classes C1 and C1,ω

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Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces

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Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings

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Convex analysis and monotone operator theory in Hilbert spaces

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Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality

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The kernel average for two convex functions and its application to the extension and representation of monotone operators

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Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory

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What is the Subdifferential of the Closed Convex Hull of a Function?

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Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions

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Explicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spaces

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A sharp form of Whitney's extension theorem

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Whitney's extension problem for \(C^m\)

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Whitney’s extension problems and interpolation of data

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Strictly convex submanifolds and hypersurfaces of positive curvature.

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The problem of optimal smoothing for convex functions

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On the extension of uniformly continuous mappings

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Differentiability of convex envelopes

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Über die zusammenziehende und Lipschitzsche Transformationen

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Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space

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Sup-inf explicit formulas for minimal Lipschitz extensions for 1-fields on \(\mathbb R^n\)

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On the extension of a transformation

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Fenchel duality, Fitzpatrick functions and the Kirszbraun–Valentine extension theorem

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Convex Analysis

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Variational Analysis

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A Lipschitz Condition Preserving Extension for a Vector Function

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Extension of Convex Function

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Differentiable functions on Banach spaces with Lipschitz derivatives

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Identifiers

10.4153/S0008439520000314

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5858664

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