The uniform nonequivalence of \(L_ p\) and \(\ell_ p\)

DOI10.1007/BF02772978zbMath0819.46013MaRDI QIDQ1335139

V. Pereyra

Publication date: 27 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform nonequivalence

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (9)

Banach spaces determined by their uniform structures ⋮ An introduction to the Ribe program ⋮ Szlenk indices and uniform homeomorphisms ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ On the complexity of the uniform homeomorphism relation between separable Banach spaces ⋮ Uniform homeomorphisms of Banach spaces and asymptotic structure ⋮ The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\) ⋮ A pathological example of a uniform quotient mapping between Euclidean spaces ⋮ Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (a short survey)

Cites Work

• On nonlinear projections in Banach spaces
• On the nonexistence of uniform homeomorphisms between \(L^ p\)-spaces
• On Orlicz sequence spaces
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