Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-10T16:15:58.927Z Has data issue: false hasContentIssue false
  • English
  • Français

LIPSCHITZ IMAGES OF HAAR NULL SETS

Published online by Cambridge University Press:  01 March 2000

EVA MATOUšKOVÁ
EVA MATOUšKOVÁ
Affiliation:
Mathematical Institute, Czech Academy of Sciences, Žitná 25, CZ-11567 Prague, Czech Republic
Get access

Abstract

Let X be a separable infinite dimensional Banach space. There exist a closed set A ⊂ X which contains a translate of any compact set in the unit ball of X, and a bi-Lipschitz homeomorphism f of X onto X so that every line in X intersects f(A) in a set of Lebesgue measure zero.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 235 - 244
Copyright
© The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)