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 obt...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.展开更多
文摘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.