Liftings and invariant subspaces of Hankel operators

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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Publication Details

Journal
Publicacions Matemàtiques
Published
2026-06-17
DOI
https://doi.org/10.5565/publmat7022604
Primary Topic
Spectral Theory in Mathematical Physics
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

Liftings and invariant subspaces of Hankel operators

Jaydeb Sarkar, Samir Panja, B Sneha, Neeru Bala
Publicacions Matemàtiques
Spectral Theory in Mathematical Physics
preprint

Liftings and invariant subspaces of Hankel operators

Jaydeb Sarkar, Samir Panja, B Sneha, Neeru Bala
preprint en

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.

Publicacions MatemàtiquesVol. 70
Department of Science and Technology, Ministry of Science and Technology, India, National Board for Higher Mathematics, Science and Engineering Research Board
Openalex Percentile: Top 96%
Spectral Theory in Mathematical Physics
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