A Generalized Spectral Radius Formula and Olsen's Question

Terry Loring, Tatiana Shulman

Let $A$ be a $C^{\ast }$-algebra and $I$ be a closed ideal in $A$. For $x\in A$, its image under the canonical surjection $A\to A/I$ is denoted by $\dot{x}$, and the spectral radius of $x…