3 problems

Let ${\mathcal H}=l^2(\omega)$ be a separable infinite-dimensional Hilbert space, let ${\mathcal B}$ be the algebra of bounded operators on ${\mathcal H}$, let…

Calkin-algebra convergence-rate conjecture. $M_{\pi(A)}$ cannot see any eigenspaces of $A$, including eigenspaces of infinite dimension.

Let $H$ be a separable Hilbert space, let $\mathcal B(H)$ be the algebra of bounded operators on $H$, and let $\mathcal K(H)$ be the ideal of compact operators. Write…