摘要
通过Banach空间与局部凸空间的对比,将Banach空间上的Diestel-Faires定理在局部凸空间上进行推广.进一步给出了局部凸空间上的Orlicz-Pettis定理与推论.
By contrasting Banach space and locally convex spaces, we promote Diestel-Faires theorem to locally convex space, and put up with Orlicz-Pettis theorem of locally convex spaces and the deduction of the Diestel-Faires theorem.
出处
《纯粹数学与应用数学》
CSCD
2014年第5期503-506,共4页
Pure and Applied Mathematics
