Typical Lipschitz mappings are typically non-differentiable

Research output: Working paper/PreprintPreprint

Abstract

We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is a new result even for Lipschitz mappings between Euclidean spaces.
Original languageEnglish
PublisherarXiv
Number of pages16
Publication statusPublished - 19 Nov 2021

Keywords

  • Typical Lipschitz differentiability

Fingerprint

Dive into the research topics of 'Typical Lipschitz mappings are typically non-differentiable'. Together they form a unique fingerprint.

Cite this