Derivations of Operators on Hilbert Modules

Let A be a C^*-algebra and X be a right Hilbert A-module. In this paper we study the relation between innerness of derivations on mathcal K(X), compact operators on X, and mathcal L(X), adjointable operators on X, also we show that with the certain conditions every derivation on mathcal K(X) and mathcal L(X) is zero.