Timeline for Weak convergence of the image of an $L^1$ converging sequence under a convex function
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 2, 2012 at 12:45 | vote | accept | Martijn | ||
| Nov 2, 2012 at 12:44 | history | edited | Martijn | CC BY-SA 3.0 |
Acceptance remarks
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| Oct 26, 2012 at 15:01 | answer | added | Pietro Majer | timeline score: 1 | |
| Oct 26, 2012 at 13:58 | comment | added | Pietro Majer | And if we assume the extra assumption it is true, and only assuming continuity on f. | |
| Oct 26, 2012 at 13:09 | answer | added | Mateusz Wasilewski | timeline score: 2 | |
| Oct 26, 2012 at 11:47 | comment | added | Tapio Rajala | If you don't assume $\int f(u_k)\to \int f(u)$, you can take as an example $K = [0,1]$, $f(x) = x^2$ and $u_k$ defined as $\sqrt{k}$ on an interval $I_k$ of length $\frac1k$ (so that each $x \in [0,1]$ belongs to infinitely many $I_k$) and as constant otherwise. | |
| Oct 26, 2012 at 9:25 | history | asked | Martijn | CC BY-SA 3.0 |