Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772231 | Journal of Functional Analysis | 2017 | 34 Pages |
Abstract
The explicit description of irreducible homogeneous operators in the Cowen-Douglas class and the localization of Hilbert modules naturally leads to the definition of a smaller class possessing a flag structure. These operators are shown to be irreducible. It is also shown that the flag structure is rigid, that is, the unitary equivalence class of the operator and the flag structure determine each other. A complete set of unitary invariants, which are somewhat more tractable than those of an arbitrary operator in the Cowen-Douglas class, is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kui Ji, Chunlan Jiang, Dinesh Kumar Keshari, Gadadhar Misra,