Proximinality in Banach spaces

DOI10.1016/j.jmaa.2007.10.024zbMath1138.46008OpenAlexW1983520645MaRDI QIDQ2474938

Darapaneni Narayana, Yongjin Li, Pradipta Bandyopadhyay, Bor-Luh LIn

Publication date: 6 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.10.024

zbMATH Keywords

Chebyshev setsmetric projectionapproximative compactnessKadec-Klee propertylocal uniform rotundityproximinal setsstrongly proximinal sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Cites Work

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• Transitivity of proximinality and norm attaining functionals
• Strongly Exposed Points in Lebesgue-Bochner Function Spaces
• Strong proximinality and polyhedral spaces