$L_\infty$ boundedness of the $L_2$ spline projector
It is conjectured in Boor73c that the projector of least-squares
approximation by splines of order $k$ with a given knot sequence $t$ can be
bounded in the max-norm independent of the knot sequence. In fact, the first
person to settle this conjecture is promised 10*(m-1973) U.S. Dollars, with
m:= year of communication of the result to deboor@cs.wisc.edu .
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This conjecture was settled (in the positive) by Aleksei Shadrin in 2000; see
Shadrin01a, where also the history is carefully recounted.
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15may02