Abstract
A metric space X is said to be absolutely Lipschitz extendable if every Lipschitz function f from X into any Banach space Z can be extended to any containing space Y X, where the loss in the Lipschitz constant in the extension is independent of Y, Z, and f. We show that various classes of natural metric spaces are absolutely Lipschitz extendable.
Original language | English (US) |
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Pages (from-to) | 859-862 |
Number of pages | 4 |
Journal | Comptes Rendus Mathematique |
Volume | 338 |
Issue number | 11 |
DOIs | |
State | Published - Jun 1 2004 |
ASJC Scopus subject areas
- Mathematics(all)