Some properties of the resolvent kernels for continuous bi-Carleman kernels

Igor M. Novitskii

Published 2015-12-28Version 1

We prove that, at regular values lying in a strong convergence region, the resolvent kernels for a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform limits of sequences of resolvent kernels for its approximating subkernels of Hilbert-Schmidt type