3 problems

Let $A$ and $B$ be Hermitian matrices and let $\Pi$ be a matrix implementing the symmetry relations … Suppose that $A$ and $B$ almost commute. Symmetry-preserving Lin conjecture. T…

Let $\mathscr{A}$ be a unital $C^*$-algebra, let $\mathscr{J}$ be an ideal in $\mathscr{A}$, and consider a $\ast$-homomorphism from $C(X)$ to $\mathscr{A}/\mathscr{J}$ arising fro…

Let $H$ and $X$ be self-adjoint matrices in a matrix algebra, and suppose that $(X,H)$ belongs to an Altland–Zirnbauer symmetry class. Lin's theorem states that sufficiently almost…