Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces \(L_p\) and \(\ell_p\) for \(0

DOI10.1007/s12220-013-9390-0zbMath1319.46016arXiv1206.3774OpenAlexW3104913197MaRDI QIDQ2256819

Yanyan Li

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3774

zbMATH Keywords

Hausdorff dimensionBanach spaceuniform embeddingcoarse embeddingbilipschitz embeddingEnflo typesnowflaked metric

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05)

Related Items (7)

METRIC INEQUALITIES ⋮ On weaker notions of nonlinear embeddings between Banach spaces ⋮ Coarse and uniform embeddings between Orlicz sequence spaces ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness ⋮ Quantitative nonlinear embeddings into Lebesgue sequence spaces ⋮ An average John theorem

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