Liftings and invariant subspaces of Hankel operators
Sneha B, Neeru Bala, Samir Panja, and Jaydeb Sarkar
TL;DR
This paper establishes a new commutant lifting theorem for Hankel operators, revealing the detailed structure of their invariant and reducing subspaces, with kernel spaces playing a crucial role.
Contribution
It introduces a Hankel-variant commutant lifting theorem and characterizes the invariant subspaces of Hankel operators in detail.
Findings
Complete structure of Beurling-type invariant subspaces
Kernel spaces are central to the analysis
New lifting theorem for Hankel operators
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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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Holomorphic and Operator Theory · Matrix Theory and Algorithms