The distortion of Hilbert space

DOI10.1007/BF01896023zbMath0817.46023MaRDI QIDQ1261155

Edward Odell, Thomas Schlumprecht

Publication date: 16 September 1993

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58121

zbMATH Keywords

nearly orthogonal setsunit sphere of Hilbert space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Related Items

Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces ⋮ Coding into Ramsey sets ⋮ Lipschitz functions on the infinite-dimensional torus ⋮ The distortion of Hilbert space ⋮ Distorting mixed Tsirelson spaces ⋮ Banach spaces of type \(p\) have arbitrarily distortable subspaces ⋮ On weakly null FDD's in Banach spaces

Cites Work

• Existence of separable uniformly homeomorphic nonisomorphic Banach spaces
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Lipschitz functions on classical spaces
• An arbitrarily distortable Banach space
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• The distortion of Hilbert space
• On uniform homeomorphisms of the unit spheres of certain Banach lattices
• Uniformly non-square Banach spaces
• On a problem of Smirnov
• The Unconditional Basic Sequence Problem
• Normalized weakly null sequence with no unconditional subsequence
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item