Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space

DOI10.1090/S0002-9939-05-08416-9zbMath1097.46053arXivmath/0411269MaRDI QIDQ3372112

N. Lovasoa Randrianarivony

Publication date: 17 February 2006

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

Full work available at URL: https://arxiv.org/abs/math/0411269

zbMATH Keywords

coarse embedding

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Special maps on metric spaces (54E40) Embedding (54C25) Nonlinear functional analysis (46T99)

Related Items (14)

Sketching and Embedding are Equivalent for Norms ⋮ Pythagorean powers of hypercubes ⋮ Markov type and threshold embeddings ⋮ On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space ⋮ 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 ⋮ EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS ⋮ Coarse and uniform embeddings ⋮ Uniform nonextendability from nets ⋮ A NEW COARSELY RIGID CLASS OF BANACH SPACES ⋮ Nonpositive curvature is not coarsely universal ⋮ Large scale geometry of Banach-Lie groups ⋮ Relative expanders

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Types et suites symétriques dans \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2\). (Types and symmetric sequences in \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2)\)
• Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces
• Euclidean quotients of finite metric spaces
• $\ell {\textunderscore }p$ ($p>2$) does not coarsely embed into a Hilbert space
• Coarse embeddings of metric spaces into Banach spaces
• Metric Spaces and Positive Definite Functions
• Locally bounded linear topological spaces

This page was built for publication: Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space