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The Representive of Metric Projection on the Finite Codimension Subspace in Banach Space

The Representive of Metric Projection on the Finite Codimension Subspace in Banach Space

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.

Author Details

Xiaobin Liang

Shixiang Huang