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Estimating $\ell^p$ and $\ell^q$ norms on a convex cone
For $1 \le p \le q \le \infty$, I need an inequality bounding the $\ell_q$ norm from above by the $\ell_p$ norm on $\mathbb{R}^n$: finding a $\lambda$ so that
$$
\Vert v \Vert_q \le \lambda \Vert v \...
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