科研之友
微信
新浪微博
Facebook
分享链接
摘要
We obtain a characterization of the point of continuity property for general bounded subsets in Banach spaces in terms of trees. For this we introduce the notion of a topologically weakly null tree and, as a consequence, we get that a general Banach space satisfies the point of continuity property if, and only if, every seminormalized topologically weakly null tree has a boundedly complete branch.
- 出版日期2012-12
