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May 20, 2012 at 2:13 history edited Adam Azzam CC BY-SA 3.0
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May 20, 2012 at 1:06 history edited Adam Azzam CC BY-SA 3.0
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May 20, 2012 at 1:06 comment added Adam Azzam I should have mentioned the additional hypothesis that $\Omega$ is open and endowed with Lebesgue measure. Thank you. I've included the note in the main post as well.
May 20, 2012 at 0:59 history edited Adam Azzam CC BY-SA 3.0
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May 20, 2012 at 0:56 comment added Valerio Capraro $L^1$ does have extreme points. Think about $|\Omega|=2$.
May 20, 2012 at 0:48 history answered Adam Azzam CC BY-SA 3.0