Amenability properties of Banach algebra valued continuous functions

Let X be a compact Hausdorff space and A a Banach algebra. We investigate amenability properties of the algebra C(X,A) of all A-valued continuous functions. We show that C(X,A) has a bounded approximate diagonal if and only if A has a bounded approximate diagonal; if A has a compactly central approximate diagonal (unbounded) then C(X,A) has a compactly approximate diagonal. Weak amenability of C(X,A) for commutative A is also considered.