Mutasim Mim

activity

20192026

ℓ_{\infty}^{n}

and

ℓ_{1}^{n}

in transportation cost spaces on finite metric spaces

7 citations · 8 across the 5 of their papers we have counts for

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Showing 2019 · math.FAShow all

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math.FA2019★ 7 cited

Isometric copies of $ℓ_{\infty}^{n}$ and $ℓ_{1}^{n}$ in transportation cost spaces on finite metric spaces

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

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

Isometric copies of ℓ∞n​ and ℓ1n​ in transportation cost spaces on finite metric spaces

Isometric copies of $ℓ_{\infty}^{n}$ and $ℓ_{1}^{n}$ in transportation cost spaces on finite metric spaces