The primitive operators of an algebra of singular integral operators
Stuart M. Newberger · Illinois Journal of Mathematics · 1966
In [1] we introduced a C* algebra of singular integral operators (a is a subset of the bounded operators on L(R) and we extended the z-symbol of CalderSn and Zygmund to a homomorphism z of a onto the bounded continuous functions on R X S"-.Two types of .primitiveoperators are basic in the composition of a.They are the multiplication operators and operators whose Fourier transforms are multiplication operators.In this note, we give the conditions for such operators to belong to (.We use the notation introduced in [1].Note that we freely confuse multiplication by