Uniform homeomorphisms of Banach spaces and asymptotic structure

DOI10.1090/S0002-9947-2012-05665-0zbMath1275.46011OpenAlexW2078363100MaRDI QIDQ4915123

Nigel J. Kalton

Publication date: 16 April 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05665-0

zbMATH Keywords

Banach spacescoarse embeddings\(p\)-Banach-Saks propertyuniform homeomorphisms\(p\)-co-Banach-Saks propertyuniform asymptotic convexity or smoothness

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Asymptotic theory of Banach spaces (46B06)

Related Items (14)

On the geometry of the countably branching diamond graphs ⋮ Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. II ⋮ On Kalton’s interlaced graphs and nonlinear embeddings into dual Banach spaces ⋮ Rank-one perturbations and norm-attaining operators ⋮ Unnamed Item ⋮ Examples of uniformly homeomorphic Banach spaces ⋮ Coarse and uniform embeddings between Orlicz sequence spaces ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ ON ASYMPTOTIC UNIFORM SMOOTHNESS AND NONLINEAR GEOMETRY OF BANACH SPACES ⋮ On the weak maximizing properties ⋮ Book Review: Metric embeddings: bilipschitz and coarse embedddings into Banach spaces ⋮ On the Coarse Geometry of James Spaces ⋮ On the embeddability of the family of countably branching trees into quasi-reflexive Banach spaces ⋮ Asymptotic smoothness in Banach spaces, three-space properties and applications

Cites Work

• Martingales valued in certain subspaces of \(L^1\)
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• On uniformly homeomorphic normed spaces
• The uniform approximation property in Orlicz spaces
• On uniformly homeomorphic normed spaces. II
• On asymptotic structure, the Szlenk index and UKK properties in Banach spaces
• \(M\)-ideals of compact operators
• The uniform nonequivalence of \(L_ p\) and \(\ell_ p\)
• Subspaces of \(c_0 (\mathbb{N})\) and Lipschitz isomorphisms
• Subspaces and quotient spaces of \((\sum G_n)_{l_p}\) and \((\sum G_n)_{c_0}\)
• Banach spaces determined by their uniform structures
• Examples of uniformly homeomorphic Banach spaces
• The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)
• Factoring compact operators
• Spaces of compact operators
• Szlenk indices and uniform homeomorphisms
• Trees and branches in Banach spaces
• ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Projections in certain Banach spaces
• A new metric invariant for Banach spaces
• A Characterization of Banach Spaces Containing l ¹
• Ultraproducts in Banach space theory.
• Property (M), M-ideals, and almost isometric structure of Banach spaces.
• On Subspaces of c0 and Extension of Operators into C(K)-Spaces
• Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
• COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniform homeomorphisms of Banach spaces and asymptotic structure