A generalized collectively compact operator theory with an application to integral equations on unbounded domains
The authors develop a generalization of collectively compact operator theory in Banach spaces. The main feature is that the operators involved are not required to be compact in the norm topology. Instead, it is assumed that the image of a bounded set under operator family is sequentially compact in a weak topology. The theory is applied to the investigation of systems of second order integral equations on unbounded domains. This class includes Wiener-Hopf integral equations with \(L^1\) convolution kernels.
systems of second order integral equations on unbounded domains
scientific article; zbMATH DE number 2059966