CHEBYSHEV SUBSETS OF A HILBERT SPACE SPHERE

DOI10.1017/S1446788719000508zbMath1428.41033OpenAlexW2991232759WikidataQ126747014 ScholiaQ126747014MaRDI QIDQ4972096

Theo Bendit

Publication date: 22 November 2019

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000508

zbMATH Keywords

stereographic projectionChebyshev setsproximal pointsChebyshev conjecturefurthest points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Convexity of Chebyshev sets
• A nonconvex set which has the unique nearest point property
• CHEBYSHEV SETS
• Cebysev Sets in Hilbert Space
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