Cyclicity of Cowen-Douglas tuples
Functional Analysis
2025-01-22 v1
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.
Cite
@article{arxiv.2501.11480,
title = {Cyclicity of Cowen-Douglas tuples},
author = {Jing Xu and Shanshan Ji and Yufang Xie and Kui Ji},
journal= {arXiv preprint arXiv:2501.11480},
year = {2025}
}