Recent Progress in Research on Weighted Composition Operators
Prof. Arkady Kitover
Community College of Philadelphia, USA
Abstract: Weighted composition operators on linear spaces constitute an important class of operators. The properties of these operators were investigated in excellent monographs by Cowen and MacCluer, Shapiro, and Singh.
In this lecture we will discuss the results obtained after the appearance of the above-mentioned monographs, concentrating on the following directions:
1. Representation of operators preserving algebraic or order structure on linear spaces as weighted composition operators.
2. Spectral properties of weighted composition operators.
3. Connections between properties of weighted composition operators and topological and complex dynamics.
Brief Biography of the Speaker: Born in Leningrad, USSR (currently Saint Petersburg, Russia) in 1948.
I graduated from Leningrad State University in 1969 with a master’s degree in mathematics and with a Ph.D. in mathematics in 1974.
From 1972 till 1989 I worked as a researcher in a research facility in Leningrad.
I moved in the United States in 1990.
In 1991 I joined the mathematics department of the Copmmunity College of Philadelphia, where I continue working presently.
My research interests are in Functional Analysis, Operator theory and General Topology.
I have published more than 60 papers in these areas (some in collaboration with Y.A. Abramovich, L. Friedler, A.W. Wickstead, and M. Orhon).