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math.FA2025
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
de Branges-Rovnyak spaces which are complete Nevanlinna-Pick spaces
Hamidul Ahmed, B. Krishna Das, Samir Panja
We consider de Branges-Rovnyak spaces of a considerably large class of reproducing kernel Hilbert spaces and find a characterization for them to be complete Nevanlinna-Pick spaces.…
math.FA2024
Isometric dilation and Sarason's commutant lifting theorem in several variables
B. Krishna Das, Samir Panja
The article deals with isometric dilation and commutant lifting for a class of -tuples of commuting contractions. We show that operator tuples in the class dilate t…