Following question:
Let X,Z be normed spaces, Y a Banach-space. Let $S_k,S \in \mathcal{L}(X,Y), T_k,T \in \mathcal{L}(Y,Z)$ and $S_k \rightarrow S, T_k \rightarrow T$ pointwise.
Then $T_k \circ S_k \rightarrow T \circ S$ pointwise.
Can somebody help me with this?