On relations between transportation cost spaces and $\ell_1$

22 Jun 2020 Ostrovska Sofiya Ostrovskii Mikhail I.

The present paper deals with some structural properties of transportation cost spaces, also known as Arens-Eells spaces, Lipschitz-free spaces and Wasserstein spaces. The main results of this work are: (1) A necessary and sufficient condition on an infinite metric space $M$, under which the transportation cost space on $M$ contains an isometric copy of $\ell_1$... (read more)

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  • FUNCTIONAL ANALYSIS
  • METRIC GEOMETRY