Marek C'uth

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math.FA2026

Structural consequences of the Schur $p$ -property for Lipschitz-free $p$ -spaces

Fernando Albiac, José L. Ansorena, Marek Cúth

Let $0 < p < q \leq 1$ . We show that the Schur $p$ -property provides a powerful structural principle for Lipschitz-free $p$ -spaces. Our main result asserts that $F_{p} (M)$ has t…

math.FA2026

Lipschitz-free spaces over uniformly discrete metric spaces are 3-Schur

Marek Cúth, Ondřej F. K. Kalenda

We prove that the Lipschitz-free space over any uniformly discrete metric space has the 3-Schur property

math.FA2026

The classification of $C (K)$ spaces for countable compacta by positive isomorphisms

Marek Cúth, Jonáš Havelka, Jakub Rondoš +1

We study the classification of spaces of continuous functions $C (K)$ under positive linear maps. For infinite countable compacta, we show that whenever $C (K)$ and $C (L)$ are isomor…

math.FA2025

Lipschitz free $p$ -spaces for $0 < p < 1$ in the light of the Schur $p$ -property and the compact reduction

Fernando Albiac, José L. Ansorena, Jan Bíma +1

The geometric analysis of non-locally convex quasi-Banach spaces presents rich and nuanced challenges. In this paper, we introduce the Schur $p$ -property and the strong Schur $p$ -p…

Structural consequences of the Schur p-property for Lipschitz-free p-spaces

Lipschitz-free spaces over uniformly discrete metric spaces are 3-Schur

The classification of C(K) spaces for countable compacta by positive isomorphisms

Lipschitz free p-spaces for 0<p<1 in the light of the Schur p-property and the compact reduction

Structural consequences of the Schur $p$ -property for Lipschitz-free $p$ -spaces

The classification of $C (K)$ spaces for countable compacta by positive isomorphisms

Lipschitz free $p$ -spaces for $0 < p < 1$ in the light of the Schur $p$ -property and the compact reduction