Abstract
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 (Formula presented.). We present a simplification of their argument that avoids dimension reduction and the Kirszbraun theorem.
Original language | English |
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Pages (from-to) | 838-840 |
Number of pages | 3 |
Journal | American Mathematical Monthly |
Volume | 126 |
Issue number | 9 |
DOIs |
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State | Published - 21 Oct 2019 |
Keywords
- 54C20
- MSC: Primary 46T20
- Secondary 51F99
All Science Journal Classification (ASJC) codes
- General Mathematics