Richard J. Smith

collaborators

3 papers

math.FA2026

A solution to the extreme point problem and other applications of Choquet theory to Lipschitz-free spaces

RamÃ³n J. Aliaga, Eva PerneckÃ¡, Richard J. Smith

We prove that every element of a Lipschitz-free space admits an expression as a convex series of elements with compact support. As a consequence, we conclude that all extreme point…

math.FA2025

De Leeuw representations of functionals on Lipschitz spaces

RamÃ³n J. Aliaga, E. PerneckÃ¡, Richard J. Smith

Let $Lip_{0} (M)$ be the space of Lipschitz functions on a complete metric space $(M, d)$ that vanish at a point $0 \in M$ . We investigate its dual $Lip_{0} (M)^{*}$ using…

math.FA2025

A Choquet theory of Lipschitz-free spaces

Richard J. Smith

Let $(M, d)$ be a complete metric space and let $F (M)$ denote the Lipschitz-free space over $M$ . We develop a ``Choquet theory of Lipschitz-free spaces'' that draws from t…