December 1, 2003
Sergey Naboko
Title: Operator Herglotz functions and applications in perturbation theory
We will consider a class of operator-valued functions analytic on a half-plane. Most attention will be devoted to the boundary behaviour of these functions on the real axis. Boundary limit will be considered in various topolgies generated by cross-ideals. It leads to applications in different fields such as scattering theory, Volterra operators theory, etc.