Analysis Seminar

SPEAKER: Prof. Paul Bourdon

TITLE: Weighted Composition Operators on Weighted Hardy Spaces

ABSTRACT: I'll introduce this class of operators, providing some observations about boundedness and invariant subspaces. Then I'll prove that for certain composition operators T on the classical Hardy space, T - I is "universal" in the sense that any Hilbert-space operator has a multiple that is similar to the restriction of T-I to one of its invariant subspaces. In a second talk, I'll present a characterization of Hermitian weighted composition operators generalizing one recently obtained by Cowen, Gunatilliake, and Ko.