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Proper 1-ball contractive retractions in Banach spaces of measurable functions
Published online by Cambridge University Press: 17 April 2009
Extract
In this paper we consider the Wośko problem of evaluating, in an infinite-dimensional Banach space X, the infimum of all k ≤ 1 for which there exists a k-ball contractive retraction of the unit ball onto its boundary. We prove that in some classical Banach spaces the best possible value 1 is attained. Moreover we give estimates of the lower H-measure of noncompactness of the retractions we construct.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 299 - 315
- Copyright
- Copyright © Australian Mathematical Society 2005
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