This article is cited in 9 papers

Some theorems on Chebyshev sets

L. P. Vlasov

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR

Abstract: We consider the class of $\delta$-suns which is used in the study of Chebyshev sets. We give sufficient conditions for a set to be a $\delta$-sun. We prove that, in a uniformly smooth Banach space, a weakly closed Chebyshev set is convex.

UDC: 517.5

Received: 20.10.1970

 English version: Mathematical Notes, 1972, 11:2, 87–92

Bibliographic databases:

• 
•