Banach空间上的W局部一致凸的一些性质

Banach Space on Some Properties of Locally Uniformly Convex

主要讨论了在Banach空间上局部一致凸空间X的一些性质,南朝勋在他的文章中讨论了Banach空间上的严格凸的一些性质,指出了严格凸具有性质,这里进一步给出了局部一致凸也具有该性质,并且对其相应的结论进行了进一步的讨论,得出了一些新的结果,同时也讨论了局部一致凸的单位球面的一些结论。

This paper focuses on some properties of locally uniformly convex Banach space, Nan zhaoxun has discussed in his article some properties of strictly convex Banach space, this article is its conclusion furtherdiscuss and come to some new results, and also discuss the Yu Xintai some conclusions.