Rings and bilipschitz maps in Banach spaces

Pekka Tukia; Jussi Väisälä

Rings and bilipschitz maps in Banach spaces

Authors

Pekka Tukia University of Helsinki, Department of Mathematics and Statistics
Jussi Väisälä University of Helsinki, Department of Mathematics and Statistics

Keywords:

Ring, bilipschitz, normed space, geometric modulus

Abstract

We define the geometric modulus

G M (A)

of a ring

A

in a normed space

E

and show that a set-bounded homeomorphism

f : E \to E

is bilipschitz if and only if

| G M (A) - G M (f A) | \leq c

for all rings

A \subset E

Issue

Vol. 46 No. 1 (2021)

Section

Articles

Published

2021-06-22

How to Cite

Tukia, P., & Väisälä, J. (2021). Rings and bilipschitz maps in Banach spaces. Annales Fennici Mathematici, 46(1), 587–591. Retrieved from https://afm.journal.fi/article/view/109693

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