摘要
In the paper we introduce the notions of the separation factor ~ and give a representive of metric projection on an n-codimension subspace （or an affine set） under certain conditions in Banach space. Further, we obtain the distance formula from any point x to a finite n-codimension subspace. Results extend and improve the corresponding results in Hilbert space.
In the paper we introduce the notions of the separation factor ~ and give a representive of metric projection on an n-codimension subspace （or an affine set） under certain conditions in Banach space. Further, we obtain the distance formula from any point x to a finite n-codimension subspace. Results extend and improve the corresponding results in Hilbert space.
基金
The NSF(11161039,11461056)of China
