摘要
本文给出了一种特殊拟范数──次范数的定义。讨论了次范数与范数之关系，并证明了赋次范空间一线性算子的连续与有界的等价性，Ｈａｈｎ—Ｂａｎａｃｈ定理及推论，最后给出了次范数为范数的条件。
In this paper we define a special quasi norm-subnorm and discuss the relation betweensubnorm and norm. We have proved following theorems.Equivalence of Continuity and boundedness in Subnormed space. Hahn-Banach theoremand its corollaries,At last,we give a condition under which subnorm becomes norm.
出处
《华东交通大学学报》
1994年第2期38-50,共13页
Journal of East China Jiaotong University
