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Timeline for $L^1$ convergence

Current License: CC BY-SA 4.0

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Apr 17 at 12:18 history edited Alex M. CC BY-SA 4.0
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Apr 17 at 9:54 vote accept Anthony
Apr 17 at 9:53 comment added Anthony Yeah you right sry..
Apr 17 at 9:25 comment added Alex M. @Anthony: As Hannes says, take for instance $f_i = 1 + i \; 1_{[0, \frac 1 {i^2}]}$ and $f=1$.
Apr 17 at 9:17 comment added Hannes @Anthony shift $f_i$ to $f_i + c$ for a positive constant $c$
Apr 17 at 8:56 comment added Anthony Thank you ! But I think your counter example does not work because $f$ is not strictly positive as assume in the statement...
Apr 17 at 8:48 history answered Alex M. CC BY-SA 4.0