On embeddings of finite subsets of ℓ_{𝑝}

DOI10.1090/proc/13919zbMath1390.46025arXiv1704.00319OpenAlexW2963267524MaRDI QIDQ4604688

James Kilbane

Publication date: 5 March 2018

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

Full work available at URL: https://arxiv.org/abs/1704.00319

zbMATH Keywords

Haar nullKrivine theoremisometric embedding of a metric space

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Isomorphic theory (including renorming) of Banach spaces (46B03) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (3)

On a question of Pietsch ⋮ On embeddings of finite subsets of ℓ_{𝑝} ⋮ Antipodal Hadwiger numbers of finite-dimensional Banach spaces

Uses Software

• MathOverflow

Cites Work

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• Isometric embedding in \(\ell_ p\)-spaces
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• Sous-espaces de dimension finie des espaces de Banach reticules
• Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\)
• Isometric embedding of finite ultrametric spaces in Banach spaces
• On embeddings of finite subsets of ℓ_{𝑝}
• Simplexes with prescribed edge lengths in Minkowski and Banach spaces

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