Bootstrapping Kirszbraun's extension theorem

Volume 217 / 2012

Eva Kopecká 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.

Authors

  • Eva KopeckáInstitut für Analysis
    Johannes Kepler Universität
    A-4040 Linz, Austria
    e-mail

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