641 research outputs found
Flag structure for operators in the Cowen-Douglas class
The explicit description of homogeneous operators and localization of a
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.Comment: Announcement, 6 page
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