On the convexity of the weakly compact Chebyshev sets in Banach spaces

Kanellopoulos, V

dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:49:31Z
dc.date.available	2014-03-01T01:49:31Z
dc.date.issued	2000	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25820
dc.subject	banach space	en
dc.subject	Hilbert Space	en
dc.subject	normed linear space	en
dc.title	On the convexity of the weakly compact Chebyshev sets in Banach spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02773563	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02773563	en
heal.publicationDate	2000	en
heal.abstract	A sufficient condition for a Banach spaceX is given so that every weakly compact Chebyshev subset ofX is convex. For this purpose a class broader than that of smooth Banach spaces is defined. In this way a former result of A. Brøndsted and A. L. Brown is partially extended in every finite dimensional normed linear space and a known result	en
heal.journalName	Israel Journal of Mathematics	en
dc.identifier.doi	10.1007/BF02773563	en