Not too well differentiable Lipschitz isomorphisms
type: Item
instance of: scholarly article
title: Not too well differentiable Lipschitz isomorphisms
zbMATH Open document ID: 0951.46019
DOI: 10.1007/BF02810595
author: D. J. Ives
author: David Preiss
published in: Israel Journal of Mathematics
publication date: 2000-12-10T00:00:00Z
review text: Several examples of Lipschitz isomorphisms with nonsurjective derivatives are given. In particular, it is shown that there exists a Lipschitz isomorphism on \(\ell_2\) that maps a cube affinely into a hyperplane.
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 46B04
zbMATH DE Number: 1436113
zbMATH Keywords: Lipschitz isomorphism
zbMATH Keywords: nonsurjective derivatives
reviewed by: Denis R. Bell
MaRDI profile type: Publication
cites work: Differentiability of Lipschitzian mappings between Banach spaces
cites work: Q4938152
cites work: SOME RESULTS ON DIFFERENTIABLE MEASURES
cites work: Aronszajn null and Gaussian null sets coincide
cites work: Lipschitz Images of Haar Null Sets
cites work: Gaussian null sets and differentiability of Lipschitz map on Banach spaces
full work available at URL: https://doi.org/10.1007/bf02810595
OpenAlex ID: W2093847148
description: scientific article; zbMATH DE number 1436113