Domains of integral operators
Volume 111 / 1994
Studia Mathematica 111 (1994), 53-68 DOI: 10.4064/sm-111-1-53-68
It is shown that the proper domains of integral operators have separating duals but in general they are not locally convex. Banach function spaces which can occur as proper domains are characterized. Some known and some new results are given, illustrating the usefulness of the notion of proper domain.