2 problems

Let $H$ be a Hilbert space, let $T$ be an operator on $H$, densely defined and closed if necessary, and let $B\in B(H)$ be normal. Meziane–Mortad's conjecture. If … then … This con…

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…