This article is cited in 15 papers

Chebyshev sets and some generalizations of them

L. P. Vlasov

V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR

Abstract: In this note we generalize and strengthen certain results contained in [12]. For example, we establish that, in a uniformly convex and smooth Banach space, any locally compact Chebyshev set is convex

UDC: 517.5

Received: 07.08.1967

 English version: Mathematical Notes, 1968, 3:1, 36–41

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