Banach空间中线性子空间为迫近集的充要条件

Criteria of a Linearity Subspace Proximinal in Banach Space

在Banach空间中,对于一个具体的线性子空间,得出它为迫近子空间的充分必要条件,并由此推论出极大 线性子空间为迫近子空间的充分必要条件。

In this paper, criteria that linearity subspace is proximinal has been given in Banach space. Futhermore, this paper educes a criteria that huge -linearity subspace is proximinal.