We are interested in various concrete operators (Toeplitz, Hankel, Volterra etc.) on spaces of analytic functions. A suitable choice of spaces and operators can model a problem that is of pure mathematical interest or motivated by other fields of science. On the other hand the operators can be used to uncover the structure of the underlying space. We are particularly interested in the classical operator theoretic properties (such as boundedness, compactness and membership in the Schatten classes) and spectra, as well as the related optimization problems. Such problems often involve a variety of techniques from mathematical analysis and other areas of mathematics.
