TY - JOUR
T1 - The Representive of Metric Projection on the Finite Codimension Subspace in Banach Space
AU - Liang , Xiaobin
AU - Huang , Shixiang
JO - Communications in Mathematical Research 
VL - 4
SP - 373
EP - 382
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.04.09
UR - https://global-sci.org/intro/article_detail/cmr/18920.html
KW - $n$-codimension, separation factor $κ$, weakly completely separated.
AB - <p style="text-align: justify;">In the paper we introduce the notions of the separation factor $κ$ 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.</p>