Rigidity of the flag structure for a class of Cowen-Douglas operators

2014/05/15 by Kui Ji, Chunlan Jiang, Ji, Kui +5 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1405.3874

openalex publication_date 2014/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 of Cowen-Douglas operators 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, are obtained.

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• On the quasi-similarity of operators with flag structure

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