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Characterization of the projections of geodesics of the Sasakian metric ofTCPnandT1CPn

โœ Scribed by A. L. Yampol'skii


Publisher
Springer US
Year
1994
Tongue
English
Weight
276 KB
Volume
69
Category
Article
ISSN
1573-8795

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On the Norm of the Metric Projections
โœ Fernando Mazzone ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 |2ร‚ p&1| , for every subspace M of L