On the $\text{pd}$- and $\text{barpd}$-Operators of a Generalized Complex Structure

In this note, we prove that the $\text{pd}$- and $\text{barpd}$-operators introduced by Gualtieri for a generalized complex structure coincide with the $\text{bdees}$- and $\text{bdel}$-operators introduced by Alekseev-Xu for Evens-Lu-Weinstein modules of a Lie bialgebroid.