Marek C'uth

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20112026

most citedIsometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces

15 citations · 87 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.FA2016★ 15 cited

Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces

Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický

Let $E$ be a finite-dimensional normed space and $Ω$ a nonempty convex open set in $E$ . We show that the Lipschitz-free space of $Ω$ is canonically isometric to the quotient of $L^…

math.FA2016★ 14 cited

Isometric embedding of $ℓ_{1}$ into Lipschitz-free spaces and $ℓ_{\infty}$ into their duals

Marek Cúth, Michal Johanis

We show that the dual of every infinite-dimensional Lipschitz-free Banach space contains an isometric copy of $ℓ_{\infty}$ and that it is often the case that a Lipschitz-free Bana…

Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces

Isometric embedding of ℓ1​ into Lipschitz-free spaces and ℓ∞​ into their duals

Isometric embedding of $ℓ_{1}$ into Lipschitz-free spaces and $ℓ_{\infty}$ into their duals