Year: 2015
Author: Xiaobin Liang, Shixiang Huang
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.04.09
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 373–382
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: $n$-codimension separation factor $κ$ weakly completely separated.