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Feb 2, 2020 at 16:01 comment added Yemon Choi I realised my error/misreading as soon as I'd finished typing and I thought I'd deleted my comment, but evidently not. Anyway I agree that my initial comment is insufficient reasoning (but see Matt's answer below)
Feb 2, 2020 at 14:29 history became hot network question
Feb 2, 2020 at 12:00 vote accept erz
Feb 2, 2020 at 9:08 answer added Matthew Daws timeline score: 5
Feb 2, 2020 at 7:47 comment added erz @YemonChoi $F$ still can be weak* dense, and so we have all information about $e_n$ by testing on $F$
Feb 2, 2020 at 7:00 comment added Yemon Choi If $F$ is not dense then clearly testing on $F$ will not determine convergence, since you can always add to your $e_n$ any $h_n \in F^\perp$. So I am not sure what you are hoping for here
Feb 2, 2020 at 6:17 history asked erz CC BY-SA 4.0