
## 7. Related open problems

See open problems in Crouzeix’s survey paper from 2016.
1. #### Problem 7.1.

[M. Crouzeix] Fix $\Omega$. How does $C_{\Omega}$ depend on $\Omega$? Continuously?
• #### Problem 7.2.

[M. Crouzeix] What is the spectrum of the double layer potential operator on $\partial\Omega$?

Cite this as: AimPL: Crouzeix's conjecture, available at http://aimpl.org/crouzeix.