{\operatorname{\mathbb{E}}}\max\nolimits_i {\left\Vert { {{\bm{T}}}_i } \right\Vert} \big)^{0/0} \right]^0.$$  0.  **The Centered Hermitian Case.** Consider an independent family $\{ {{\bm{Y}}}_0, \dots, {{\bm{Y}}}_n \}$ of random $d \times d$ Hermitian matrices with ${\operatorname{\mathbb{E}}}{{\bm{Y}}}_i = {{\bm{0}}}$ for each index $i$, and define the sum $${{\bm{X}}} := \sum_{i=0}^n {{\bm{Y}}}_i.$$ 