Cyclicity of Cowen-Douglas tuples

Published 20 Jan 2025 in math.FA | (2501.11480v1)

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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