Weak topology and Opial property in Wasserstein spaces, with applications to gradient flows and proximal point algorithms of geodesically convex functionals
نویسندگان
چکیده
In this paper we discuss how to define an appropriate notion of weak topology in the Wasserstein space $(\mathcal{P}_2(\mathsf{H}),W_2)$ Borel probability measures with finite quadratic moment on a separable Hilbert $\mathsf{H}$.
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ژورنال
عنوان ژورنال: Atti della Accademia nazionale dei Lincei
سال: 2022
ISSN: ['1720-0768', '1120-6330']
DOI: https://doi.org/10.4171/rlm/955