Timeline for Non-isometric Banach spaces [closed]
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 30, 2011 at 8:38 | history | closed |
Benoît Kloeckner Andrew Stacey Andreas Thom Bill Johnson Ryan Budney |
off topic | |
| Jul 28, 2011 at 18:50 | comment | added | Bill Johnson | This question is too elementary for MO, but it does point in an direction that I find interesting. In "The diameter of the isomorphism class of a Banach space, Annals Math. 162 (2005), 423-437", Odell and I show that if $X$ is a separable infinite dimensional Banach space, then for every $K$ there is a space $Y$ that is isomorphic to $X$ but there are other spaces isomorphic to $X$ which do not $K$-embed into $Y$. Whether the same is true for every non separable space is open. | |
| Jul 28, 2011 at 14:29 | answer | added | Gerald Edgar | timeline score: 1 | |
| Jul 28, 2011 at 12:30 | comment | added | Gerald Edgar | OK, now add the (I assume) intended condition of "infinite-dimensional". | |
| Jul 28, 2011 at 12:26 | comment | added | C.S. | @Mikael: You could have written that as an answer. | |
| Jul 28, 2011 at 12:04 | comment | added | Mikael de la Salle | What about $\mathbb C^2$ with the $\ell^2$ and $\ell^1$ norms? | |
| Jul 28, 2011 at 11:59 | history | asked | Chalifa ibn Salman Al-Chalifa | CC BY-SA 3.0 |