摘要
给出自反Banach空间中弱序列紧子集与有界弱闭集的等价条件,将Rn中的Bolzano-Weierstrss定理推广到自反的Banach空间.
Give an equivalent conditions of weakly compactness and bounded weak closed sets on the reflexive Banach space, the result generalize Bolzano-Weierstrass theorem from Rn to reflexive Banach space.
出处
《闽南师范大学学报（自然科学版）》
2016年第4期1-4,共4页
Journal of Minnan Normal University：Natural Science
关键词
自反BANACH空间
弱紧性
有界弱闭集
reflexive Banach space
weakly compactness
bounded weakly closed set
