Norms of some projections on C[a, b]
โ Scribed by William A Light
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 220 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We show that the extension property for pure states of a C\*-subalgebra B of a C\*-algebra A leads to the existence of a projection of norm one R: A ร B in the case where B is liminal with Hausdorff primitive ideal space. Furthermore, R is given by a ``Dixmier process'' in which the averaging is eff