Extreme points of unit balls
in Lipschitz function spaces
Abstract: We give a new characterization of the set of all extreme points of the unit ball in the Banach space of all Lipschitz functions on a metric space This result is applied to get a total variation characterization of in the particular case when is a convex subset of a Banach space.
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Affiliation: Department of Mathematics, M. Curie-Sklodowska University, 20-031 Lublin, Poland
Address at time of publication: Institute of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland
Keywords: Lipschitz functions, extreme points, total variation characterization.
Received by editor(s): November 13, 1995
Communicated by: Dale Alspach
Article copyright: © Copyright 1997 American Mathematical Society