Lipschitz free spaces isomorphic to their infinite sums and geometric applications

DOI10.1090/tran/8444zbMath1480.46011arXiv2005.06555OpenAlexW3024211597MaRDI QIDQ3382271

José Luis Ansorena, Marek Cúth, Michal Doucha, Fernando Albiac

Publication date: 21 September 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06555

zbMATH Keywords

quasi-Banach spaceArens-Eells spaceLipschitz free spacetransportation cost spaceLipschitz free \(p\)-space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04) Analysis on metric spaces (30L99) Lists of open problems (00A27)

Related Items (11)

On large ℓ₁-sums of Lipschitz-free spaces and applications ⋮ Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions ⋮ Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\) ⋮ Cantor sets of low density and Lipschitz functions on \(C^1\) curves ⋮ Projecting Lipschitz functions onto spaces of polynomials ⋮ Lipschitz functions on unions and quotients of metric spaces ⋮ Projections in Lipschitz‐free spaces induced by group actions ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Lipschitz functions on quasiconformal trees ⋮ Approximation properties in Lipschitz‐free spaces over groups ⋮ RETRACTED - Compact reduction in Lipschitz-free spaces

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