赋范空间有界序列收敛的等价性

The Equivalence of Two Convergent Sequence of Bounded Sequences in Normed Space

中文关键词:  几乎收敛  半几乎收敛.

英文关键词:almost convergence  quasi-almost convergence.

中文摘要:

      本文我们讨论了实赋范空间中有界序列组成的实向量空间${\bf m}$上定义的两种收敛性,并得出它们的等价性,推广了[1]中的结论.

英文摘要:

      Two kinds of convergent sequences on the real vector space ${\bf m}$ of all bounded sequences in a real normed space $X$ were discussed in this paper, and we prove that they are equivalent, which improved the results of [1].