June 6, 2024Open Access

On the weak^* separability of the space of Lipschitz functions

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Abstract

We conjecture that whenever M is a metric space of density at most continuum, then the space of Lipschitz functions is w^*-separable. We prove the conjecture for several classes of metric spaces including all the Banach spaces with a projectional skeleton, Banach spaces with a w^*-separable dual unit ball and locally separable complete metric spaces.

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Candido et al. (Thu,) studied this question.

synapsesocial.com/papers/68e65e3eb6db6435875ece8b https://doi.org/https://doi.org/10.48550/arxiv.2406.03982

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