Absolute Lipschitz extendability

James R. Lee; Assar Naor

doi:10.1016/j.crma.2004.03.005

Absolute Lipschitz extendability

James R. Lee, Assar Naor

Mathematics

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	859-862
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2004.03.005
State	Published - Jun 1 2004

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Mathematics(all)

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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.",

author = "Lee, {James R.} and Assar Naor",

note = "Funding Information: E-mail addresses: jrl@cs.berkeley.edu (J.R. Lee), anaor@microsoft.com (A. Naor). 1 The first author was partially supported by NSF grant CCR-0121555 and an NSF Graduate Research Fellowship.",

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Absolute Lipschitz extendability

Abstract

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