Timeline for Contractions and spaces
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2010 at 10:55 | comment | added | Bill Johnson | Right you are, Yemon. The isomorphic version is also false for $L_p$ with $1<p<\infty$, but the almost isometric versions are true ($p=1$ by Dor and $p>1$ by Schechtman). | |
| Jun 10, 2010 at 10:51 | history | edited | Yemon Choi |
edited tags
|
|
| Jun 10, 2010 at 10:50 | comment | added | Yemon Choi | If I recall correctly, the result you state is false if we replace "isometric" with "isomorphic", due to a counterexample of Bourgain. Also, which other spaces did you have in mind? I´d prefer to have more evidence of prior thought and reading on the question, rather than (apparent) mere curiosity | |
| Jun 10, 2010 at 7:40 | history | edited | Matthew Daws |
edited tags
|
|
| Jun 10, 2010 at 7:20 | answer | added | Bill Johnson | timeline score: 4 | |
| Jun 10, 2010 at 6:30 | comment | added | Pietro Majer | Are you asking when a closed linear subspace X of a Banach space admits a linear projector with norm 1? Or more generally, are you interested in non-linear maps? For instance in Hilbert, non-linear context, Kirszbraun theorem provides extensions of Lipschitz maps, keeping the same Lipschitz constants. | |
| Jun 10, 2010 at 5:42 | history | asked | John Jones | CC BY-SA 2.5 |