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2009 Retracting ball onto sphere in $BC_0(\mathbb R)$
Łukasz Piasecki
Topol. Methods Nonlinear Anal. 33(2): 307-313 (2009).

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

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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

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Vol.33 • No. 2 • 2009
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