赋范线性空间中的列收敛

Convergence of sequences in normed linear spaces

本文证明了Ｓｃｈｕｒ空间与有限维Ｂａｎａｃｈ空间的两个特征定理，并对赋范线性空间中的列收敛进行了讨论，得到了一些有趣的结果。

In this paper, we prove two characteristic theorems of Schur spaces and finite-dimensional Banach spaces, then we discuss the convergence of sequences in normed linear spaces and obtain some interesting results.