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On the Choquet boundary
for a nonclosed subspace of C(S)
Tae Geun Cho |
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Vol. 35 (1970), No. 3, 575–580
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Abstract |
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In this paper, it is proved that if a separating (not necessarily closed) subspace X of C(S) which contains all the constant functions is generated by a weakly compact convex subset, then the peak points for X are dense in the Choquet boundary for X. In order to prove the theorem the extremal structure of convex subsets of the conjugate space of a normed linear space is studied. |
Mathematical Subject Classification
Primary: 46.55
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Milestones
Received: 7 November 1969
Published: 1 December 1970
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Authors |
| Tae Geun Cho | |
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