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arXiv · 2501.11480

Cyclicity of Cowen-Douglas tuples

Jing Xu·Shanshan Ji·Yufang Xie·Kui Ji
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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.

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Jing Xu, Shanshan Ji, Yufang Xie, Kui Ji. 2025-01-20. Cyclicity of Cowen-Douglas tuples. https://arxiv.org/abs/2501.11480

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