Chebyshev centres and centrable sets

Rao, T. S. S. R. K. (2002) Chebyshev centres and centrable sets Proceedings of the American Mathematical Society, 130 (9). pp. 2593-2598. ISSN 0002-9939

[img]
Preview
PDF - Publisher Version
275kB

Official URL: http://www.ams.org/journals/proc/2002-130-09/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-02-06624-8

Abstract

In this paper we characterize real Banach spaces whose duals are isometric to L1(μ) spaces (the so-called L1-predual spaces) as those spaces in which every finite set is centrable. For a locally compact, non-compact set X and for an L1-predual E, we give a complete description of the extreme points and denting points of the dual unit ball of , Co(X,E), equipped with the diameter norm.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:64756
Deposited On:14 Oct 2011 06:45
Last Modified:18 May 2016 13:04

Repository Staff Only: item control page