Kirszbraun’s Theorem via an Explicit Formula
From MaRDI portal
Publication:5858664
DOI10.4153/S0008439520000314MaRDI QIDQ5858664
Carlos Mudarra, Erwan Y. Le Gruyer, Daniel Azagra
Publication date: 14 April 2021
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.10288
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Convex functions and convex programs in convex geometry (52A41) Extension of maps (54C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality
- Sup-inf explicit formulas for minimal Lipschitz extensions for 1-fields on \(\mathbb R^n\)
- A constructive proof of Kirszbraun's theorem
- Whitney's extension problem for \(C^m\)
- Strictly convex submanifolds and hypersurfaces of positive curvature.
- Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces
- Differentiable functions on Banach spaces with Lipschitz derivatives
- A sharp form of Whitney's extension theorem
- On the extension of uniformly continuous mappings
- Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space
- Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions
- Differentiability of convex envelopes
- Definable versions of theorems by Kirszbraun and Helly
- Explicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spaces
- Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
- Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory
- Whitney’s extension problems and interpolation of data
- The kernel average for two convex functions and its application to the extension and representation of monotone operators
- Variational Analysis
- The problem of optimal smoothing for convex functions
- Fenchel duality, Fitzpatrick functions and the Kirszbraun–Valentine extension theorem
- What is the Subdifferential of the Closed Convex Hull of a Function?
- Über die zusammenziehende und Lipschitzsche Transformationen
- Extension of Convex Function
- Whitney extension theorems for convex functions of the classes C1 and C1,ω
- Convex Analysis
- On the extension of a transformation
- A Lipschitz Condition Preserving Extension for a Vector Function
- Convex analysis and monotone operator theory in Hilbert spaces
This page was built for publication: Kirszbraun’s Theorem via an Explicit Formula
