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.
|Number of pages||3|
|Journal||American Mathematical Monthly|
|State||Published - 21 Oct 2019|
Bibliographical notePublisher Copyright:
© 2019, © THE MATHEMATICAL ASSOCIATION OF AMERICA.
- MSC: Primary 46T20
- Secondary 51F99