Mazur交性质与Farzur点
The Mazur Intersection Property and Farthest Points
摘要：
K. S. Lau证明了自反巴拿赫空间具有Mazur交性质当且仅当每个闭有界凸集是其最远点的闭凸包。在这项工作中，我们表明，在一般情况下，后者的属性相当于一个属性强于MIP。作为推论，我们重新得到了Lau的结果，并在RNP空间的对偶中刻画了w*-MIP.
英文摘要：
K.\ S.\ Lau had shown that a reflexive Banach space has the Mazur Intersection Property (MIP) if and only if every closed bounded convex set is the closed convex hull of its farthest points. In this work, we show that in general this latter property is equivalent to a property stronger than the MIP. As corollaries, we recapture the result of Lau and characterize the w*-MIP in dual of RNP spaces.
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