摘要
得到实Banach空间X的闭有限余维子空间是伪半Chebyshev的特征，由此得到X*的弱*闭有限余维子空间是伪Chebyshev的特征，把这些结果用到数列空间，得到更简明的结果。
In this paper, we obtain the characteristics for the closed subspace of finite codimension of any real normed space to be pseudo -semi -Chebyshev and the characteristics for the weakly. closed subspace of finite codimension to be pseudo - chebyshev. We also obtain more simple results in sequence space by using the former results.
