Timeline for Dual of colimit in $\text{Ban}_1$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 20, 2016 at 17:19 | comment | added | Rodrigo Vargas | But on a second thought, that might not be a problem. From looking at your examples, one might have $(\lim E_n)^* = (\text{colim } E_n^*)^{**}$... This should be the case at least for reflexive spaces: $(\lim E_n)^* = (\lim E_n^{**})^* = (\text{colim } E_n^*)^{**}$. | |
| May 20, 2016 at 16:35 | comment | added | Yemon Choi | In what I would call the "standard" setting, the dual of $\ell_\infty$ is a fairly nasty Banach space that is much bigger than $\ell_1$. So I think one would need to be looking at very special limits. I admit I haven't thought about pullbacks | |
| May 20, 2016 at 16:31 | comment | added | Rodrigo Vargas | Although your examples make me skeptical, I will still ask: can one hope then for some simple characterization of the dual of a limit in $\text{Ban}_1$? | |
| May 20, 2016 at 16:27 | history | edited | Yemon Choi | CC BY-SA 3.0 |
clarification of point in 1st para
|
| May 20, 2016 at 16:18 | vote | accept | Rodrigo Vargas | ||
| May 20, 2016 at 16:15 | history | answered | Yemon Choi | CC BY-SA 3.0 |