Abstract
It is proved that every bounded closed and convex subset of an arbitrary conjugate separable Banach space is the closed convex hull of its extreme points.
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Bessaga, C., Pełczyński, A. On extreme points in separable conjugate spaces. Israel J. Math. 4, 262–264 (1966). https://doi.org/10.1007/BF02771641
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DOI: https://doi.org/10.1007/BF02771641