Retracting ball onto sphere in $BC_0(\mathbb R)$
Keywords
Minimal displacement, optimal retractions, lipschitzian mappingsAbstract
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.Downloads
Published
2009-06-01
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PIASECKI, Łukasz. Retracting ball onto sphere in $BC_0(\mathbb R)$. Topological Methods in Nonlinear Analysis. Online. 1 June 2009. Vol. 33, no. 2, pp. 307 - 313. [Accessed 19 April 2024].
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