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Tight upper bound on a ratio involving symmetric PSD matrices and Kronecker products

There is no upper for $m$ that is independent of $d$ and $T$. In fact, for a fixed $d$, the best upper bound that works for all $T$ is of order $\sqrt{d}$, and this is already tight for $T=d$. The bou …
Mikael de la Salle's user avatar