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math.FA2024
Invariant subspaces of perturbed backward shift
Soma Das, Jaydeb Sarkar
We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of t…
math.FA2024
Liftings and invariant subspaces of Hankel operators
Sneha B, Neeru Bala, Samir Panja +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 spa…
math.FA2024
Paired and Toeplitz + Hankel operators
Nilanjan Das, Soma Das, Jaydeb Sarkar
We present complete classifications of Toeplitz + Hankel operators on vector-valued Hardy spaces and classify paired operators on . We also study the latter class…