A note on isomorphisms between powers of Banach spaces (Q1113420)

We are concerned with the following problem: ``Let E and F be Banach spaces such that the \(E^ I\) is isomorphic to \(F^ I\) for some infinite set I. Then, when does it follow that E is isomorphic to F?'' Here, we provide a partial answer to this problem and characterize the Banach spaces E which are isomorphic to any F whenever \(F^{{\mathbb{N}}}\) is isomorphic to \(E^{{\mathbb{N}}}\).