Suppose $f$ is $C^\infty$ with compact support. Let $T_n$ be the operator which sends $f$ to its $n$-th derivative. Is $||T_nf||_\infty$ bounded?
It seems like I should use Stone-Weierstrass, but perhaps I am going about this the wrong way.
2026-04-06 18:05:05.1775498705
Differentiation operator on smooth function with compact support
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