Means of extreme points and F-spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:283

Article

Jiménez-Vargas, A ; Mena-Jurado, JF ; Navarro-Pascual, JC ; Sánchez-Lirola, MG

关键词: extreme point;    covering dimension;    F-space;    polar decomposition;   

DOI  :  10.1016/S0022-247X(03)00279-8

来源: Elsevier

【 摘 要 】

Given a topological space T and a strictly convex real normed space X, let C(T, X) be the space of continuous and bounded functions from T into X, with its uniform norm. This paper is devoted to the study of the relation between the fact of T being an F-space and the property that every element in the unit ball of C(T, X) has a representation as a mean of two extreme points. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free