  For Fr{\'e}chet spaces E and F we write (E,F) \in {B} if every continuous
linear operator from E to F is bounded. Let l be a Banach sequence space with a
monotone norm in which the canonical system (e_{n}) is an unconditional basis.
We obtain a necessary and sufficient condition for (E,F) \in {B} when F =
\lambda^{l}(B). We say that a triple (E,F,G) has the bounded factorization
property and write (E,F,G) \in {BF} if each continuous linear operator T : E
\longrightarrow G that factors over F is bounded. We extend some results in
\cite{Ter03} to l-K\"{o}the spaces and obtain a sufficient condition for
(E,\lambda^{l_1}(A) \hat{otimes}_{pi} \lambda^{l_2}(B), \lambda^{l_3}(C)) \in
{BF} when \lambda^{l_1}(A) and \lambda^{l_2}(B) are nuclear.
