9 problems

Conjecture. The statement of the preceding proposition can be adjusted to cover these cases.

Sublinear convergence conjecture. The Trotter product formula can converge slower than $n^{-1}$ for unbounded operators.

Let $\mathcal{R}$ be a finite von Neumann algebra, with its trace, and let $p$ be a non-commutative polynomial in $n$ variables. Let the Murray-von Neumann algebra affiliated with…

Let $n\in\mathbb{N}$. For a closed, densely defined operator $T$, write $D(T^k)$ for the domain of its $k$-th power and $D[T^{*k}]$ for the domain of the $k$-th power of its adjoin…

Let $A$ be an unbounded self-adjoint operator on a Hilbert space. Unbounded commutator conjecture. There is always a bounded self-adjoint operator $B$ such that $AB-BA$ is unbounde…

Let $H$ be a complex Hilbert space. Let $A$ be an operator on $H$, densely defined and closed if necessary, and let $B\in B(H)$ be normal. Fuglede–Putnam conjecture. The inclusion…

Total form domain intersection conjecture. If dynamical decoupling works uniformly, then

Let $T$ be an operator of class $C_{0}$ with finite multiplicity, and let $X$ be a closed, densely defined linear transformation commuting with every operator in the commutant…

Adams–Jordan conjecture. For values of $p$ other than $p=1$, the interpretation of the equality in the paper's local spectral-radius formula as a local spectral radius formula for…