An Eberlein-Smulian type result for the weak* topology

作者：Vogt Hendrik^*

来源：Archiv der Mathematik, 2010, 95(1): 31-34.

DOI：10.1007/s00013-010-0128-y

• Eberlein-Smulian theorem
• Weak* compactness

We present a result on relative weak* compactness in the dual of a Banach space X that allows a short proof of both the Eberlein-Smulian theorem and Smulian's characterisation of weak compactness of closed convex subsets of X.

• 出版日期2010-7