5 problems

Let $\{A_n\}_n$ and $\{B_n\}_n$ be Hermitian positive definite GLT matrix-sequences with matrix-valued GLT symbols … Assume…

Common-unitary normal-form conjecture. Any algebra $\mathfrak A\subseteq\mathfrak C_D$ induced by such $\mathscr A$ and $s$ admits a unitary sequence $\{U_n\}_n$ such that…

Diagonal embedding conjecture. Any algebra $\mathfrak A\subseteq\mathfrak C_D$ embeds into $\mathfrak D$: there exist a sequence of unitary matrices $\{U_n\}_n$ and an isomorphism…

Universal GLT algebra embedding conjecture. Any algebra $\mathfrak A\subseteq\mathfrak C_D$ embeds into $\mathfrak G$: there exists a sequence of unitary matrices $\{U_n\}_n$ such…

Universal GLT group embedding conjecture. Any group $d524\mathfrak A\subseteqd524\mathfrak C_D$ embeds into $d524\mathfrak G$: there exist sequences of unitary matrices $\{U_n\}_n$…