Abstract
It is shown that there exist Banach spaces X, Y, a 1-net N of X and a Lipschitz function f:N→Y such that every F:. X→. Y that extends f is not uniformly continuous.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 991-994 |
| Number of pages | 4 |
| Journal | Comptes Rendus Mathematique |
| Volume | 353 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2015 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Naor, A. (2015). Uniform nonextendability from nets. Comptes Rendus Mathematique, 353(11), 991-994. https://doi.org/10.1016/j.crma.2015.09.005