Wu, Congxin; Li, Yongjin Dentability and extreme points. (English) Zbl 0819.46012 Northeast. Math. J. 9, No. 3, 305-307 (1993). Summary: We prove that in a separable Banach space \(X\), if every bounded closed subset \(K\) of \(X\) with \(K\subset U(X)\) and \(\overline{\text{co}}(K)= U(X)\) contains an extreme point of \(\text{co}(K)\), then \(U(X)\) must be dentable, and that if \(U(X)\) has denting points, then every weak closed bounded subset \(K\) of \(X\) with \(K\subset U(X)\) and \(\overline{\text{co}}(K)= U(X)\) contains an extreme point of \(\text{co}(K)\). Cited in 1 Document MSC: 46B22 Radon-Nikodým, Kreĭn-Milman and related properties Keywords:denting points; extreme point PDFBibTeX XMLCite \textit{C. Wu} and \textit{Y. Li}, Northeast. Math. J. 9, No. 3, 305--307 (1993; Zbl 0819.46012)