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Jan 11, 2012 at 16:54 comment added Yulia Kuznetsova I like the second argument, and this shouldn't give zero for all $f$. This is not exactly what I asked but also helpful.
Jan 11, 2012 at 16:47 comment added Yemon Choi Your edit looks right to me (although I'm not yet sufficiently caffeinated to be confident that I'm thinking straight) - I vaguely remember discussing a similar construction with MCW a while back, in a slightly different context with $L^\infty[0,1]$ and $C[0,1]^{**}$.
Jan 11, 2012 at 14:19 history edited Matthew Daws CC BY-SA 3.0
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Jan 11, 2012 at 14:18 history undeleted Matthew Daws
Jan 11, 2012 at 13:49 history deleted Matthew Daws
Jan 11, 2012 at 13:36 history edited Matthew Daws CC BY-SA 3.0
added 625 characters in body
Jan 11, 2012 at 13:28 history answered Matthew Daws CC BY-SA 3.0