Abstract and Applied Analysis
Volume 2003 (2003), Issue 2, Pages 101-110
doi:10.1155/S1085337503204103
On the problem of retracting balls onto their boundary
Instytut Matematyki, Universytet M. Curie–Skłodowskiej (UMCS), Lublin 20-031, Poland
Received 13 November 2001
Copyright © 2003 Kazimierz Goebel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We provide some new estimates of the smallest possible Lipschitz
constant for retractions of the unit ball B onto the unit
sphere S in infinite-dimensional Banach spaces.