Means of extreme points and F-spaces

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 th...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2003-07, Vol.283 (2), p.696-704
Main Authors: Jiménez-Vargas, A, Mena-Jurado, J.F, Navarro-Pascual, J.C, Sánchez-Lirola, M.G
Format: Article
Language:English
Subjects:
Algebra
Category theory, homological algebra
Covering dimension
Exact sciences and technology
Extreme point
F-space
Functional analysis
General topology
Mathematical analysis
Mathematics
Operator theory
Polar decomposition
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/S0022-247X(03)00279-8