NDLI: A Simple Proof of the Johnson–Lindenstrauss Extension Theorem

Content Provider	Scilit
Author	Mendel, Manor
Copyright Year	2019
Description	Journal: The American Mathematical Monthly Johnson and Lindenstrauss proved that any Lipschitz mapping from an n-point subset of a metric space into Hilbert space can be extended to the whole space, while increasing the Lipschitz constant by a factor of O( log n). We present a simplification of their argument that avoids dimension reduction and the Kirszbraun theorem.
Related Links	http://arxiv.org/pdf/1803.03606
Ending Page	840
Page Count	3
Starting Page	838
ISSN	00029890
e-ISSN	19300972
DOI	10.1080/00029890.2019.1642071
Journal	The American Mathematical Monthly
Issue Number	9
Volume Number	126
Language	English
Publisher	Informa UK Limited
Publisher Date	2019-10-21
Access Restriction	Open
Subject Keyword	Journal: The American Mathematical Monthly Msc: Primary 46t20 Secondary 51f99
Content Type	Text
Subject	Mathematics

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A Simple Proof of the Johnson–Lindenstrauss Extension Theorem