关于可数模空间ε(Ω)的定义

On the Definition of the Countable Modules Space

中文关键词:  可数模空间  ε（Ω）

英文关键词:countable module space  ε （Ω）

中文摘要:

      本文给出并证明了[1]中可数模空间ε（Ω）的定义对紧子集列{K_m}^∞_m=1的依赖条件，提出了与紧子集列{K_m}^∞_m=1的选择无关的ε（Ω）的修正定义．

英文摘要:

      In this paper, we pointed out and proved that the definition of the countable module space ε (Ω) defined in [1] is dependent on the compact subsequences {K_m}^∞_m=1. Meanwhile, we put forward a modified definition of the countable module space ε(Ω) Which is independednt on the compact subsequences {K_m}^∞_m=1.