On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space

DOI10.1090/proc/12626zbMath1337.46019arXiv1309.0747OpenAlexW2963355884MaRDI QIDQ2944857

Michal Kraus

Publication date: 8 September 2015

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

Full work available at URL: https://arxiv.org/abs/1309.0747

zbMATH Keywords

Hilbert spacequasi-Banach spaceuniform embeddingcoarse embedding

Mathematics Subject Classification ID

Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Cites Work

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• Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces
• $\ell {\textunderscore }p$ ($p>2$) does not coarsely embed into a Hilbert space
• Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space
• On coarse embeddability into l_p-spaces and a conjecture of Dranishnikov
• Constructions preserving Hilbert space uniform embeddability of discrete groups
• On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
• Metric Spaces and Positive Definite Functions
• Locally bounded linear topological spaces

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