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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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 …
Noah Stein's user avatar
  • 8,501
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 …
Noah Stein's user avatar
  • 8,501