Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Projections $ P$ on $ C=C[-1,1]$ which interpolate at $ \dim (P(C))$ or more points


Author: Chengmin Yang
Journal: Proc. Amer. Math. Soc. 115 (1992), 669-676
MSC: Primary 46E15; Secondary 41A65
MathSciNet review: 1089415
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Abstract: Let $ V$ be an $ n$ dimensional subspace of $ C[ - 1,1]$. This paper gives a necessary and sufficient condition for a bounded linear projection $ P$ from $ C[ - 1,1]$ onto $ V$ to have the property that $ Pf$ interpolates $ f$ at $ n$ or more points for any $ f \in C[ - 1,1]$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1089415-4
Keywords: Linear projection, WT measure vector space, interpolation, weak*-topology
Article copyright: © Copyright 1992 American Mathematical Society