Marek Cúth

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4 papers · 1 filter

math.FA2024

Guarded Fraïssé Banach spaces

Marek Cúth, Noé de Rancourt, Michal Doucha

We characterize separable Banach spaces having $G_{δ}$ isometry classes in the Polish codings $P$ , $P_{\infty}$ and $B$ introduced by Cúth-Doležal-Doucha-…

math.FA2024

Isometries of Lipschitz-free Banach spaces

Marek Cúth, Michal Doucha, Tamás Titkos

We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz-free spaces that includes e.g. Lipschitz-free spaces over any graph. We define the…

math.FA2023

Note on almost isometric ideals and local retracts in Banach and metric spaces

Leandro Candido, Marek Cúth, Ondřej Smetana

We exhibit a new approach to the proofs of the existence of a large family of almost isometric ideals in nonseparable Banach spaces and existence of a large family of almost isomet…

math.FA2023

Canonical embedding of Lipschitz-free $p$ -spaces

Marek Cúth, Tomáš Raunig

We find a new finite algorithm for evaluation of Lipschitz-free $p$ -space norm in finite-dimensional Lipschitz-free $p$ -spaces. We use this algorithm to deal with the problem of wh…

Guarded Fraïssé Banach spaces

Isometries of Lipschitz-free Banach spaces

Note on almost isometric ideals and local retracts in Banach and metric spaces

Canonical embedding of Lipschitz-free p-spaces

Canonical embedding of Lipschitz-free $p$ -spaces