Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\)

DOI10.1016/j.jfa.2019.108354zbMath1452.46001arXiv1905.07201OpenAlexW2980865413MaRDI QIDQ2281178

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

Publication date: 19 December 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07201

zbMATH Keywords

quasi-Banach spacequasimetric spaceLipschitz free \(p\)-spaceembedding of \(\ell_p\)

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items

Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\), Complementability of isometric copies of \(\ell_1\) in transportation cost spaces, Optimal extensions of Lipschitz maps on metric spaces of measurable functions, Lipschitz free spaces isomorphic to their infinite sums and geometric applications

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