Banach isomorphisms between von Neumann algebras

Question

It seems that most people are talking about $*$-isomorphisms of von Neumann algebras. However, I can not find any references for the Banach isomorphisms, i.e., let $A,B$ be two different von Neumann algebras (consider them as Banach spaces equipped with uniform norms), are there any bijective mapping from $A$ onto $B$? In particular, I would like to consider the case when $A$ is a finite von Neumann algebra and $B=B(H)$.