Open Access
2009 HAUSDORFF NORMS OF RETRACTIONS IN BANACH SPACES OF CONTINUOUS FUNCTIONS
Vittorio Colao, Alessandro Trombetta, Giulio Trombetta
Taiwanese J. Math. 13(4): 1139-1158 (2009). DOI: 10.11650/twjm/1500405497

Abstract

We construct retractions with positive lower Hausdorff norms and small Hausdorff norms in Banach spaces of real continuous functions which domains are not necessarily bounded or finite dimensional. Moreover, we give precise formulas for the lower Hausdorff norms and the Hausdorff norms of such maps.

Citation

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Vittorio Colao. Alessandro Trombetta. Giulio Trombetta. "HAUSDORFF NORMS OF RETRACTIONS IN BANACH SPACES OF CONTINUOUS FUNCTIONS." Taiwanese J. Math. 13 (4) 1139 - 1158, 2009. https://doi.org/10.11650/twjm/1500405497

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1186.46025
MathSciNet: MR2543732
Digital Object Identifier: 10.11650/twjm/1500405497

Subjects:
Primary: 46B20 , ‎46E15 , 47H09

Keywords: ‎Hausdorff measure of noncompactness , Hausdorff norm , Hilbert cube , lower Hausdorff norm , retraction

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 4 • 2009
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