

Seminar on Complex Analysis (Gonchar Seminar)
December 15, 2014 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)






Spectral analysis of contractions with a scalar inner characteristic function
V. V. Kapustin^{} ^{} St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences

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Abstract:
The main result of the talk is a reflexivity criterion for model contractions on coinvariant subspaces of the unilateral shift operator. An operator is said to be reflexive if the algebra of operators that preserve its lattice of invariant subspaces coincides with the minimal weakly closed algebra of operators generated by it. As a necessary preparation to the reflexivity result mentioned above, we will present a survey of basic spectral properties of model contractions.

