Isometric copies of ${\ell }_{\infty }^n$ and ${\ell }_1^n$ in transportation cost spaces on finite metric spaces

Seychelle S. Khan, Mutasim Mim, Mikhail I. Ostrovskii

Main results: (a) If a metric space contains $2n$ elements, the transportation cost space on it contains a $1$-complemented isometric copy of ${\ell }_1^n$. (b) An example of a finite…