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Dinesh Kumar Keshari
Texas A&M
Flag structure for operators in the Cowen-Douglas class
Friday, March 7 2PM, 646 PGH
Abstract
The explicit description of homogeneous operators in the Cowen-Douglas class and the localization of a Cowen-Douglas
Hilbert module naturally leads to the definition of a class of Cowen-Douglas operators possessing a flag structure. These
operators are irreducible. We show that the flag structure is rigid in the sense that the unitary equivalence class of the
operator and the flag structure determine each other. We obtain a complete set of unitary invariants which are somewhat
more tractable than those of an arbitrary operator in the Cowen-Douglas class.
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Last modified: April 08 2016 - 07:21:37