Corrigendum to “A local global principle for regular operators in Hilbert C⁎-modules” [J. Funct. Anal. 262 (10) (2012) 4540-4569]

We clarify that one of the main results from “A local global principle for regular operators in Hilbert C⁎-modules” is already contained in an earlier paper by François Pierrot. Moreover, in the paper by Pierrot this result is proved in a stronger version that was only stated as a conjecture in our local global principle paper. We also present a short proof, based on Pierrot's argument, of the core issue in both of the two papers namely a result on the separation of a point from a closed submodule.