节点文献
相容拓扑概念的推广与序列相容拓扑
Generalized Compatible Topology and Sequential Compatible Topology
【摘要】 对拓扑向量空间理论中的相容拓扑概念作了推广 ,引入了更为抽象的 P( T) -相容拓扑的定义 ,它包容原有的相容拓扑概念 ,对 P( T) -相容拓扑的一种特别情形—序列相容拓扑进行了深入的讨论 ,并给出了一些具体空间的例子
【Abstract】 In this paper, the concept of compatible topology in the theory of topological vector spaces has been generalized. The definition of P(T) compatible topology which is more general than compatible topology has been introduced. And the new definition contains the old one. Sequential compatible topology which is a special case of P(T) compatible topology has been thoroughly studied, some examples about it have been given.
【关键词】 相容拓扑;
相对强拓扑;
P(T)-相容拓扑;
收敛序列;
列连续;
【Key words】 compatible topology; relative strong topology; P(T) compatible topology; convergent sequence; sequential continuity;
【Key words】 compatible topology; relative strong topology; P(T) compatible topology; convergent sequence; sequential continuity;
- 【文献出处】 天津师范大学学报(自然科学版) ,Journal of Tianjin Normal University (Natural Science Edition) , 编辑部邮箱 ,2001年03期
- 【分类号】O189
- 【被引频次】1
- 【下载频次】33