ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
From MaRDI portal
Publication:3152224
DOI10.1112/S0024611502013400zbMath1023.46046OpenAlexW2132031014WikidataQ101410031 ScholiaQ101410031MaRDI QIDQ3152224
Gideon Schechtman, William B. Johnson, Joram Lindenstrauss, David Preiss
Publication date: 22 October 2002
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024611502013400
Geometry and structure of normed linear spaces (46B20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (38)
Smoothness, asymptotic smoothness and the Blum-Hanson property ⋮ Lenses and asymptotic midpoint uniform convexity ⋮ Numerical radius attaining compact linear operators ⋮ Asymptotic geometry of Banach spaces and uniform quotient maps ⋮ A characterisation of octahedrality in Lipschitz-free spaces ⋮ Asymptotic geometry and Delta-points ⋮ A compact universal differentiability set with Hausdorff dimension one ⋮ Property \((\beta)\) and uniform quotient maps ⋮ Compact spaces of Szlenk index \(\omega\) ⋮ Universality, complexity and asymptotically uniformly smooth Banach spaces ⋮ On strong asymptotic uniform smoothness and convexity ⋮ Infinite dimensional generalized Jacobian: properties and calculus rules ⋮ Rank-one perturbations and norm-attaining operators ⋮ A universal differentiability set in Banach spaces with separable dual ⋮ Examples of uniformly homeomorphic Banach spaces ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ A compact null set containing a differentiability point of every Lipschitz function ⋮ Szlenk indices and uniform homeomorphisms ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ On the uniqueness and stability of an inverse problem in photo-acoustic tomography ⋮ Equivalent norms with the property \((\beta)\) of Rolewicz ⋮ Power type $\xi $-asymptotically uniformly smooth norms ⋮ Uniform homeomorphisms of Banach spaces and asymptotic structure ⋮ The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\) ⋮ The uniform structure of Banach spaces ⋮ A topological and geometric approach to fixed points results for sum of operators and applications ⋮ A universal reflexive space for the class of uniformly convex Banach spaces ⋮ Asymptotic properties of Banach spaces and coarse quotient maps ⋮ The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map ⋮ On the weak maximizing properties ⋮ Asymptotic structure, \(\ell_p\)-estimates of sequences, and compactness of multilinear mappings ⋮ On the Coarse Geometry of James Spaces ⋮ Some remarks on the weak maximizing property ⋮ The geometry of Hamming-type metrics and their embeddings into Banach spaces ⋮ On the embeddability of the family of countably branching trees into quasi-reflexive Banach spaces ⋮ Prescribed Szlenk index of separable Banach spaces ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ) ⋮ Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\)
This page was built for publication: ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES