Liftings and invariant subspaces of Hankel operators

Published 25 Aug 2024 in math.FA, math.CV, and math.OA | (2408.13753v3)

Abstract: We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.

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Concrete representation of the V-Hankel dilation operator

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