关于C-局部序列空间的初步探讨  

A Tentative Study on C-Locally Sequential Spaces

作　　者：石超峰[1] 刘德[1] 

机构地区：[1]内蒙古大学数学系,内蒙古呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2001年第5期473-477,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目 (批准号 990 30 1 -1 )

摘　　要：给出 C-局部序列空间拓扑结构特征 ,证明了 C-局部序列空间是强于包囿空间 ,同时又是严格弱于局部凸线性度量空间的概念 .此外还论证了 C-局部序列空间的乘积空间、商空间和归纳极限仍是We define a new kind of locally convex topological vector spaces, we call them C locally sequence spaces. Then we discuss their topological construction. We prove that C locally sequence spaces are stronger than bornological spaces and strictly weaker than locally convex linear metric spaces. Finally, we prove that the product, quotient and inductive limit of C locally sequence spaces are also C locally sequence spaces.

关 键 词：局部列收敛 C-局部序列空间 包囿空间 拓扑结构 局部凸线性度量空间 乘积空间 

分 类 号：O189.11[理学—数学]