@Article{CMR-31-373, author = {Liang , Xiaobin and Huang , Shixiang}, title = {The Representive of Metric Projection on the Finite Codimension Subspace in Banach Space}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {4}, pages = {373--382}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.04.09}, url = {http://global-sci.org/intro/article_detail/cmr/18920.html} }