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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
7
votes
polynomials with minimal $L_\infty$ norm on multiple disjoint intervals
This problem can be reformulated exactly as an SOS (sum of squares) program and then solved to any degree of accuracy efficiently as an SDP (semidefinite program). For lots of references I'd recommen …
3
votes
An inequality question
No. The inequality you have given implies (by scaling any $y\in V$) that $M^Ty=0$ for all $y\in V$. That is to say, $V\subseteq \operatorname{ker}\left(M^T\right)$. There is no such $V$ if $\operat …