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Cyclicity of Cowen-Douglas tuples

Authors :
Xu, Jing
Ji, Shanshan
Xie, Yufang
Ji, Kui
Publication Year :
2025

Abstract

The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic vector bundles, this paper investigates the cyclicity of Cowen-Douglas tuples and demonstrates conclusively that every such tuple is cyclic.

Subjects

Subjects :
Mathematics - Functional Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2501.11480
Document Type :
Working Paper