Banach空间闭超平面上度量投影的连续性

The Continuity of the Metric Projections on a Close Hyperplane in Banach Space

该文给出Banach空间X的对偶空间X＊中闭超平面上度量投影的表达式,并在Banach空间中研究了闭超平面上度量投影的连续性.

In this paper, the authors give a representation of the metric projections on a class of close hyperplanes in a dual space of Banach space X. For a Banach space, some results of continuity of the metric projections on a class of close hyperplanes in Xor X＊ are obtained .