点击次数：

论文类型：期刊论文

发表时间：2017-04-01

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物：SCIE、Scopus

卷号：33

期号：4

页面范围：545-553

ISSN号：1439-8516

关键字：Banach space; uniform Eberlein compactas; super weak compactness

摘要：We prove that a topological space is uniform Eberlein compact iff it is homeomorphic to a super weakly compact subset C of a Banach space such that the closed convex hull (c) over bar(o) over barC of C is super weakly compact. We also show that a Banach space X is super weakly compactly generated iff the dual unit ball B-X* of X* in its weak star topology is affinely homeomorphic to a super weakly compactly convex subset of a Banach space.