The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)

DOI10.1007/s00208-007-0190-3zbMath1146.46050OpenAlexW2135025173MaRDI QIDQ2480879

N. Lovasoa Randrianarivony, Nigel J. Kalton

Publication date: 3 April 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-007-0190-3

zbMATH Keywords

uniform homeomorphismcoarse Lipschitz imbedding

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Special maps on metric spaces (54E40) Embedding (54C25) Nonlinear functional analysis (46T99)

Related Items (21)

Power type asymptotically uniformly smooth and asymptotically uniformly flat norms ⋮ METRIC INEQUALITIES ⋮ Barycentric gluing and geometry of stable metrics ⋮ On the geometry of the countably branching diamond graphs ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ On Kalton’s interlaced graphs and nonlinear embeddings into dual Banach spaces ⋮ Unnamed Item ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ ON ASYMPTOTIC UNIFORM SMOOTHNESS AND NONLINEAR GEOMETRY OF BANACH SPACES ⋮ The coarse geometry of Tsirelson’s space and applications ⋮ Uniform homeomorphisms of Banach spaces and asymptotic structure ⋮ Asymptotic properties of Banach spaces and coarse quotient maps ⋮ Quantitative nonlinear embeddings into Lebesgue sequence spaces ⋮ CONCERNING SUMMABLE SZLENK INDEX ⋮ Three and a half asymptotic properties ⋮ On the Coarse Geometry of James Spaces ⋮ No dimension reduction for doubling subsets of \(\ell_q\) when \(q>2\) revisited ⋮ The geometry of Hamming-type metrics and their embeddings into Banach spaces ⋮ Nonpositive curvature is not coarsely universal ⋮ Tight Embeddability of Proper and Stable Metric Spaces ⋮ Asymptotic smoothness in Banach spaces, three-space properties and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\)
• Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
• On uniformly homeomorphic normed spaces
• The uniform nonequivalence of \(L_ p\) and \(\ell_ p\)
• Banach spaces determined by their uniform structures
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Szlenk indices and uniform homeomorphisms
• ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
• Projections in certain Banach spaces
• On projections and unconditional bases in direct sums of Banach spaces
• On projections and unconditional bases in direct sums of Banach spaces II
• Operators into L_p which Factor Through l_p
• Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces

This page was built for publication: The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)