Banach序列空间中的Chebyshev集和距离投影的连续性(英文)

Chebyshev Sets and Continuity of Metric Projection in Banach Sequenc Spaces

本文给出空间l^p(X_i)中,逼近子空间,半—Chebyshev子空间,Chebyshev子空间的特征,并由此导出有关Banach空间几何性质的一些结果,此外,我们还讨论了l^p(X_i)中距离投影的连续性。

In this paper, we give a characterization of Chebyshev sets in l^P(X_i). Using this characterization, some well known results in connection with geometrical properties of the space l^P(X_i) are obtained.