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On the norm of polynomials of two adjoint projections

✍ Scribed by Israel Feldman; Naum Krupnik; Alexander Markus


Publisher
SP Birkhäuser Verlag Basel
Year
1991
Tongue
English
Weight
797 KB
Volume
14
Category
Article
ISSN
0378-620X

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On the Norm of the Metric Projections
✍ Fernando Mazzone 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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 |2Â p&1| , for every subspace M of L