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Jun 25, 2020 at 4:16 comment added Idonknow @Matthew Daws perhaps you can write your comment as an answer so that I can give a closure to my question?
Jun 12, 2018 at 12:14 history edited Idonknow CC BY-SA 4.0
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Jan 10, 2018 at 10:43 comment added Matthew Daws What happens in the easier case when $E=\mathbb C$? Then you are comparing $ext(X^*)$ for $X\subseteq C_0(K)$ with the collection of all evaluation functions on $K$.
Jan 10, 2018 at 9:50 comment added Idonknow @JochenWengenroth: I see. So the reverse inclusion is false in general. May I know what conditions on the subspace $X$ would turn the reverse inclusion true? For example, reflexive? Strictly convex?
Jan 10, 2018 at 8:22 comment added Jochen Wengenroth This should depend on the subspace $X\subseteq C_0(K,E)$!
Jan 10, 2018 at 2:01 history edited Idonknow CC BY-SA 3.0
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Jan 10, 2018 at 1:48 history asked Idonknow CC BY-SA 3.0