Chapter 7: Biadditive and Bilinear Operators
In this chapter we consider continuity results for biadditive and bilinear operators. These operators fit nicely into the framework of abstract triples. Let E, G be Hausdorff Abelian topological groups and F a set. Let b : E × F → G be such that b(·, y) : E → G is additive and continuous for every y ∈ F. We consider the triple