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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some results on the radial projection in Banach spaces


Author: R. L. Thele
Journal: Proc. Amer. Math. Soc. 42 (1974), 483-486
MSC: Primary 46B05
MathSciNet review: 0328550
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Abstract: We obtain in this paper some new theorems on the radial projection onto the unit ball in Banach spaces, including in particular the following: A Banach space X is uniformly nonsquare if and only if the radial projection in X has Lipschitz constant strictly less than 2.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0328550-1
PII: S 0002-9939(1974)0328550-1
Article copyright: © Copyright 1974 American Mathematical Society