On the Norm of the Metric Projections
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Fernando Mazzone
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Article
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1999
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Elsevier Science
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English
β 87 KB
Let X be a Banach space. Given M a subspace of X we denote with P M the metric projection onto M. We define ?(X ) :=sup [&P M &: M a proximinal subspace of X]. In this paper we give a bound for ?(X ). In particular, when X=L p , we obtain the inequality &P M & 2 |2Γ p&1| , for every subspace M of L