摘要
本文首先将Goldstine-Weston定理从赋范线性空间推广到局部线性拓扑空间。其次,证明了实Banach空间一致光滑的一个充分条件。所得结论推广了文[3]中的一个定理,改进了文[4]的一个定理。
Generalization is first made of the Goldstine-Weston Theorem from norm linear spaces to locally convex linear topological spaces. Then proof is given of a sufficient condition for real Banach spaces to be uniformly smooth. And finally, upon this basis, a theorem in [3] is generalized and a theorem in [4] modified
关键词
泛函
分析
定理
推广
normed spaces
locally convex linear spaces
topological spaces
Banach spaces
