José Aguayo
Departamento de Matemática,
Facultad de Ciencias Físicas y Matemáticas,
Universidad de Concepción,
Casilla 160-C,
Concepción-Chile
In this paper we study integral operators. We start by giving the definition of an integral operator and the definition of integrable function respect to this kind of operators. We prove a necessary and sufficient condition for a function to be integrable with respect to an integral operator. We show that every continuous function is an integrable function relative no matter what is the integral operator. We provide the space of all continuous functions with compact image with a locally convex topology and we prove that every normed-valued continuous linear operator defined on this space is an integral operator if, and only if, it is continuous in this locally convex topology.