Remarks on Bounded Operators in Köthe Spaces

We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.

Remarks on Bounded Operators in Köthe Spaces

We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.