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Ball proximinal and strongly ball proximinal hyperplanes

Authors :
N. Prakash
V. Indumathi
Source :
Journal of Approximation Theory. 172:37-46
Publication Year :
2013
Publisher :
Elsevier BV, 2013.

Abstract

A closed subspace Y of a normed linear space X is said to be ball proximinal if the closed unit ball of Y is proximinal in X. In this paper, we characterize ball proximinal and strongly ball proximinal hyperplanes.

Subjects

Subjects :
Combinatorics
Unit sphere
Numerical Analysis
Hyperplane
Applied Mathematics
General Mathematics
Mathematical analysis
Ball (mathematics)
Analysis
Subspace topology
Normed vector space
Mathematics

Details

ISSN :
00219045
Volume :
172
Database :
OpenAIRE
Journal :
Journal of Approximation Theory
Accession number :
edsair.doi...........0987185d77b93ce5fbfd6d877560bbd1

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