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Let V be an n dimensional subspace of C[-l, 1]. This paper gives a necessary and sufficient condition for a bounded linear projection P from C[-l, 1] onto V to have the property that Pf interpolates / at n or more points for any f € C[-1,1].

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