若干Banach空间及有界凸域上的凸映射

Convex Maps on Some Banach spaces and Bounded Convex Domains

本文研究了一类Ｂａｎａｃｈ空间上凸映射的性质。找出了一类Ｂａｎａｃｈ空间上单位球上凸映射的特征，并利用这些结果研究了一类有界凸域上的所有凸映射．

In th paper,we investigate the properties of convex maps on some Banach spaces,find the characteristic of convex maps on unit ball of a class of Banach spaces.By using theseresults,we determine all convex maps on a class of bounded domains.