Retracting ball onto sphere in $BC_0(\mathbb R)$

Łukasz Piasecki

DOI: http://dx.doi.org/10.12775/TMNA.2009.020

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.

Keywords


Minimal displacement; optimal retractions; lipschitzian mappings

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