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On uniquely remotal subsets of Hilbert spaces

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Publication:786348
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zbMath0527.41027MaRDI QIDQ786348

A. A. Astaneh

Publication date: 1983

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

Hilbert spacefarthest pointChebyshev centerfarthest distanceuniquely remotal setunique farthest pointChebyshev ballRoutledge's inequalityuniquely remotal subset


Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Best approximation, Chebyshev systems (41A50) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


Related Items (3)

Existence of unique fixed point of a mapping defined on an uniquely remotal subset in Hilbert space ⋮ Unnamed Item ⋮ Uniquely remotal sets in Banach spaces







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