Operator Theory and Nonlinear Analysis

Mark Elin, Haggai Katriel, Victor A. Khatskevich, David Shoikhet, Daniel Alpay (Ben-Gurion University), Tomas Azizov (Voronezh State University, Voronezh, Russia), Lawrence Harris (University of Kentucky, Lexington, Kentucky, USA), Jurii Kozicki (University of Maria Curie-Sklodowska, Poland), Tadeusz Kuczumov (University of Maria Curie-Sklodowska, Poland), Simeon Reich (Technion), Victor Shulman (Vologda State Technical University, Russia) and Jaroslav Zemanek (Polish Academy of Sciences, Warsaw, Poland)
This research focuses on fixed point theory and operator methods and their applications to holomorphic semigroups, dichotomy in spaces of operators, Abel and Schroeder type functional equations and others. We aim to give some parametric descriptions of bistrict plus operators and some groups of automorphisms of the unit operator ball. We are also interested in the structure of images of operator linear fractional relations. We are also studying different properties of the spectrum of single operators and families of operators as well composition operators which form a special but very important class of linear operators.