On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces
Kristian Bredies,
Jonathan Chirinos Rodriguez,
Emanuele Naldi
Abstract:In this note, we provide a characterization for the set of extreme points of the Lipschitz unit ball in a specific vectorial setting. While the analysis of the case of real-valued functions is covered extensively in the literature, no information about the vectorial case has been provided up to date. Here, we aim at partially filling this gap by considering functions mapping from a finite metric space to a strictly convex Banach space that satisfy the Lipschitz condition. As a consequence, we present a represe… Show more
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