Extreme Points in Lipschitz-Free Spaces over Compact Metric Spaces

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چکیده

We prove that all extreme points of the unit ball a Lipschitz-free space over compact metric have finite support. Combined with previous results, this completely characterizes and implies them are also in bidual ball. For proof, we develop some properties an integral representation functionals on Lipschitz spaces originally due to K. de Leeuw.

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2022

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-021-01941-z