Bootstrapping Kirszbraun's extension theorem
Volume 217 / 2012
Fundamenta Mathematicae 217 (2012), 13-19
MSC: Primary 54C20; Secondary 46C05.
DOI: 10.4064/fm217-1-2
Abstract
We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.
