2 problems

Let $(\mathscr{A},\tau)$ be a $W^*$-probability space and let $b_0$ be an invertible operator in it. For $z\in\mathbb{C}$, define … For any operator $a$, write $|a|^2=a^*a$. Define…

Brown measure convergence conjecture. The eigenvalue distributions $\mu_{A_N}$ converge to the Brown measure $\mu_x$ of $x$.