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arXiv:2408.13753 [math.FA]AbstractReferencesReviewsResources

Liftings and invariant subspaces of Hankel operators

Sneha B, Neeru Bala, Samir Panja, Jaydeb Sarkar

Published 2024-08-25Version 1

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.

Comments: 17 pages
Categories: math.FA, math.CV, math.OA
Subjects: 30H10, 47B35, 32A35, 47B38, 46E20, 15B05
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