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Analysis Seminar

Wednesday, 06 February, 2013

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.




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