Abstract
In infinite dimensional Banach spaces the unit sphere is a lipschitzian retract of the unit ball. We use the space of continuous functions vanishing at a point to provide an example of such retraction having relatively small Lipschitz constant.
Citation
Łukasz Piasecki. "Retracting ball onto sphere in $BC_0(\mathbb R)$." Topol. Methods Nonlinear Anal. 33 (2) 307 - 313, 2009.
Information
Published: 2009
First available in Project Euclid: 27 April 2016
zbMATH: 1188.46008
MathSciNet: MR2549620
Rights: Copyright © 2009 Juliusz P. Schauder Centre for Nonlinear Studies
